Mathematics › Probability
Probability Questions
275 questions across 8 subtopics — with step-by-step solutions.
Addition theorem(12)
- Let and be two independent events. The pro... | Mathematics | TestHub
- Four persons independently solve a certain... | Mathematics | TestHub
- Two newspapersandare published in a city.... | Mathematics | TestHub
- In a class ofstudents,opted for NCC,opted... | Mathematics | TestHub
- Letand, be two events such that the probab... | Mathematics | TestHub
- The probabilities of three eventsandare gi... | Mathematics | TestHub
- Letandbe three events such that the probab... | Mathematics | TestHub
- Letbe three mutually exclusive events such... | Mathematics | TestHub
- Two dice are thrown independently. Letbe t... | Mathematics | TestHub
- Let Ajay will not appear in JEE exam with... | Mathematics | TestHub
- Let the sum of two positive integers be 24... | Mathematics | TestHub
- An integer is chosen at random from the in... | Mathematics | TestHub
Conditional probability(61)
- A problem in mathematics is given to three... | Mathematics | TestHub
- The probability that A speaks truth is , w... | Mathematics | TestHub
- Paragraph:There are urns each containing b... | Mathematics | TestHub
- Paragraph:There are urns each containing b... | Mathematics | TestHub
- Let denotes the complement of an event . L... | Mathematics | TestHub
- Let be mutually exclusive events with . Le... | Mathematics | TestHub
- One Indian and four American men and their... | Mathematics | TestHub
- Consider the system of equations where Sta... | Mathematics | TestHub
- A die is thrown. Let be the event that the... | Mathematics | TestHub
- Paragraph:A fair die is tossed repeatedly... | Mathematics | TestHub
- An urn contains nine balls of which three... | Mathematics | TestHub
- Paragraph:Let and be two urns such that co... | Mathematics | TestHub
- There are two balls in an urn. Each ball c... | Mathematics | TestHub
- If six students, including two particular... | Mathematics | TestHub
- The probability of a man hitting a target... | Mathematics | TestHub
- Letbe the number of red and black balls, r... | Mathematics | TestHub
- If identical balls are to be placed in ide... | Mathematics | TestHub
- Paragraph: Football teams and have to play... | Mathematics | TestHub
- Paragraph: Football teams and have to play... | Mathematics | TestHub
- Letandbe two events such that,andThen | Mathematics | TestHub
- Three persons P, Q and R independently try... | Mathematics | TestHub
- For three events,and(Exactly one oforoccur... | Mathematics | TestHub
- Letbe two independent events. The probabil... | Mathematics | TestHub
- A player has a biased coin whose probabili... | Mathematics | TestHub
- There are three bagsandThe bagcontainsred... | Mathematics | TestHub
- Letbe the sample space of allmatrices with... | Mathematics | TestHub
- Assume that each born child is equally lik... | Mathematics | TestHub
- Two integers are selected at random from t... | Mathematics | TestHub
- In a game two playersandtake turns in thro... | Mathematics | TestHub
- Letandbe two biased coins such that the pr... | Mathematics | TestHub
- Letandbe two independent events such thata... | Mathematics | TestHub
- Letdenote the complement of an event. Leta... | Mathematics | TestHub
- Boxcontainscards numberedtoand Boxcontains... | Mathematics | TestHub
- A die is thrown two times and the sum of t... | Mathematics | TestHub
- Two fair dice, each with faces numberedand... | Mathematics | TestHub
- A fair die is tossed until six is obtained... | Mathematics | TestHub
- Three numbers are chosen at random, one af... | Mathematics | TestHub
- Three numbers are chosen at random, one af... | Mathematics | TestHub
- Consider three sets and . Two elements are... | Mathematics | TestHub
- A biased die is marked with numberson its... | Mathematics | TestHub
- Letandbe two events such that the conditio... | Mathematics | TestHub
- Ifandare two events such thatand, thenis e... | Mathematics | TestHub
- Let and be two events such that , and . Co... | Mathematics | TestHub
- Two players, and , play a game against eac... | Mathematics | TestHub
- In an examination, there aretrue-false typ... | Mathematics | TestHub
- A bag contains six balls of different colo... | Mathematics | TestHub
- If an unbiased die, marked withon its face... | Mathematics | TestHub
- A fair die is tossed repeatedly until a si... | Mathematics | TestHub
- Two integersare chosen with replacement fr... | Mathematics | TestHub
- In a tournament, a team plays 10 matches w... | Mathematics | TestHub
- An urn containswhite andblack balls. Two s... | Mathematics | TestHub
- Bagcontainswhite,red balls and bagcontains... | Mathematics | TestHub
- A bag contains balls out of which 3 balls... | Mathematics | TestHub
- A card from a pack of 52 cards is lost. Fr... | Mathematics | TestHub
- If and are two events such that , and and... | Mathematics | TestHub
- Three students and are given a problem to... | Mathematics | TestHub
- A bag contains 19 unbiased coins and one c... | Mathematics | TestHub
- Given three indentical bags each containin... | Mathematics | TestHub
- A bag contains 4-balls two balls are drawn... | Mathematics | TestHub
- Let and be two non-null events such that .... | Mathematics | TestHub
- If two events A and B are such that \mathr... | Mathematics | TestHub
General (Event SS, Definitions, Odd against/Favour)(98)
- and are events such that then is | Mathematics | TestHub
- Five horses are in a race. Mr. A selects t... | Mathematics | TestHub
- Three houses are available in a locality.... | Mathematics | TestHub
- Paragraph:There are urns each containing b... | Mathematics | TestHub
- A pair of fair dice is thrown independentl... | Mathematics | TestHub
- It is given that the events and are such t... | Mathematics | TestHub
- One ticket is selected at random from 50 t... | Mathematics | TestHub
- Paragraph:A fair die is tossed repeatedly... | Mathematics | TestHub
- Paragraph:A fair die is tossed repeatedly... | Mathematics | TestHub
- Let be a complex cube root of unity with .... | Mathematics | TestHub
- Four numbers are chosen at random (without... | Mathematics | TestHub
- If and are two events such that and , then... | Mathematics | TestHub
- Three numbers are chosen at random without... | Mathematics | TestHub
- A number is randomly selected from the set... | Mathematics | TestHub
- A number is chosen at random from the set... | Mathematics | TestHub
- A set contains 7 elements. A non-empty sub... | Mathematics | TestHub
- Ifandare two events such that, then the in... | Mathematics | TestHub
- Letandbe any two events with positive prob... | Mathematics | TestHub
- Paragraph: Box contains three cards bearin... | Mathematics | TestHub
- If the lengths of the sides of a triangle... | Mathematics | TestHub
- Letbe a set containingelements andbe its p... | Mathematics | TestHub
- Ifandare any two events such thatandthen t... | Mathematics | TestHub
- From a group ofmen andwomen, four member c... | Mathematics | TestHub
- Three randomly chosen non negative integer... | Mathematics | TestHub
- If two different numbers are taken from th... | Mathematics | TestHub
- Paragraph: There are five studentsandin a... | Mathematics | TestHub
- A bag containsred andblack balls. A ball i... | Mathematics | TestHub
- Paragraph: There are five studentsandin a... | Mathematics | TestHub
- Letandbe three events, which are pair-wise... | Mathematics | TestHub
- In a random experiment, a fair die is roll... | Mathematics | TestHub
- Let . A subset of is said to be "nice", if... | Mathematics | TestHub
- Out of 11 consecutive natural number if th... | Mathematics | TestHub
- The probability that a randomly chosen- di... | Mathematics | TestHub
- Ifdifferent balls are to be placed indisti... | Mathematics | TestHub
- Letdistinct balls be distributed amongboxe... | Mathematics | TestHub
- The probability that two randomly selected... | Mathematics | TestHub
- Letbe a set of all-digit natural numbers w... | Mathematics | TestHub
- A seven digit number is formed using digit... | Mathematics | TestHub
- The probability that a randomly selecteddi... | Mathematics | TestHub
- The coefficientsandof the quadratic equati... | Mathematics | TestHub
- Letandbe three events having probabilities... | Mathematics | TestHub
- An ordinary dice is rolled for a certain n... | Mathematics | TestHub
- Four dice are thrown simultaneously and th... | Mathematics | TestHub
- Letdenote the event that a-digit integer f... | Mathematics | TestHub
- A number is chosen at random from the set.... | Mathematics | TestHub
- LetThen the probability that a randomly ch... | Mathematics | TestHub
- Words with or without meaning are to be fo... | Mathematics | TestHub
- Two dices are rolled. If both dices have s... | Mathematics | TestHub
- Two squares are chosen at random on a ches... | Mathematics | TestHub
- The probability, that in a randomly select... | Mathematics | TestHub
- The probability that a relationfromtois bo... | Mathematics | TestHub
- If the probability that a randomly chosen-... | Mathematics | TestHub
- Letbe the sample space of all five digit n... | Mathematics | TestHub
- Five numbersare randomly selected from the... | Mathematics | TestHub
- If the numbers appeared on the two throws... | Mathematics | TestHub
- Out offemale andmale candidates appearing... | Mathematics | TestHub
- Let. Then the probability, that a randomly... | Mathematics | TestHub
- Let M be the maximum value of the product... | Mathematics | TestHub
- Letdenote the sum of the numbers obtained... | Mathematics | TestHub
- Three dice are rolled. If the probability... | Mathematics | TestHub
- Letbe the sample space associated to a ran... | Mathematics | TestHub
- Let the probability of getting head for a... | Mathematics | TestHub
- Letbe a sample space andbe an even. Thenis... | Mathematics | TestHub
- A bag containswhite andblack balls. A die... | Mathematics | TestHub
- Consider an experiment of tossing a coin r... | Mathematics | TestHub
- Let be the sample space and be an event. G... | Mathematics | TestHub
- Letbe the sum of the numbers appeared when... | Mathematics | TestHub
- Let. Three distinct pointandare randomly c... | Mathematics | TestHub
- If three letters can be posted to any one... | Mathematics | TestHub
- A coin is biased so that a head is twice a... | Mathematics | TestHub
- Let and denote the outcome of three indepe... | Mathematics | TestHub
- If an unbiased dice is rolled thrice, then... | Mathematics | TestHub
- The coefficients in the quadratic equation... | Mathematics | TestHub
- Two marbles are drawn in succession from a... | Mathematics | TestHub
- The coefficients in the quadratic equation... | Mathematics | TestHub
- One die has two faces marked 1 , two faces... | Mathematics | TestHub
- The probability, of forming a 12 persons c... | Mathematics | TestHub
- Two number and are randomly chosen from th... | Mathematics | TestHub
- and alternately throw a pair of dice. wins... | Mathematics | TestHub
- Let a random variable X take values with a... | Mathematics | TestHub
- A board has 16 squares as shown in the fig... | Mathematics | TestHub
- If and are two events such that , and and... | Mathematics | TestHub
- Three distinct numbers are selected random... | Mathematics | TestHub
- Let S be the set of all the words that can... | Mathematics | TestHub
- All five letter words are made using all t... | Mathematics | TestHub
- Three defective oranges are accidently mix... | Mathematics | TestHub
- One die has two faces marked 1 , two faces... | Mathematics | TestHub
- Two balls are selected at random one by on... | Mathematics | TestHub
- Let be a square matrix of order 2 with ent... | Mathematics | TestHub
- If the probability that the random variabl... | Mathematics | TestHub
- Two number and are randomly chosen from th... | Mathematics | TestHub
- If and are two events such that , and , wh... | Mathematics | TestHub
- Let be a matrix such that for all and . Le... | Mathematics | TestHub
- If and are two events such that , and , wh... | Mathematics | TestHub
- A box contains 10 pens of which 3 are defe... | Mathematics | TestHub
- If the letters of the word MATHEMATICS are... | Mathematics | TestHub
- Three fair and unbiased dice and rolled at... | Mathematics | TestHub
- A biased cubical die is thrown twice. LetP... | Mathematics | TestHub
Geometrical Probability(2)
Independent events(26)
- Events are mutually exclusive events such... | Mathematics | TestHub
- Let and be two events such that and , wher... | Mathematics | TestHub
- An experiment has 10 equally likely outcom... | Mathematics | TestHub
- A signal which can be green or red with pr... | Mathematics | TestHub
- Let and be two events such that , and . Wh... | Mathematics | TestHub
- A ship is fitted with three engines and .... | Mathematics | TestHub
- try to hit a target simultaneously but ind... | Mathematics | TestHub
- Of the three independent events,and, the p... | Mathematics | TestHub
- Given two independent events, if the proba... | Mathematics | TestHub
- If the events and are mutually exclusive e... | Mathematics | TestHub
- Letandbe two events such thatandwherestand... | Mathematics | TestHub
- Let two fair six-faced diceandbe thrown si... | Mathematics | TestHub
- Letdenote the number of elements in setLet... | Mathematics | TestHub
- Four persons can hit a target correctly wi... | Mathematics | TestHub
- In a box, there arecards, out of whichare... | Mathematics | TestHub
- In a workshop, there are five machines and... | Mathematics | TestHub
- Letbe three independent events in a sample... | Mathematics | TestHub
- Letandbe independent events such that. The... | Mathematics | TestHub
- A student appeared in an examination consi... | Mathematics | TestHub
- When a missile is fired from a ship, the p... | Mathematics | TestHub
- Let there be three independent events and... | Mathematics | TestHub
- A fair die is thrown untilappears. Then th... | Mathematics | TestHub
- Thirty-two players ranked 1 to 32 are play... | Mathematics | TestHub
- A fair coin is tossed 10 times and the out... | Mathematics | TestHub
- Three coloured boxes, i.e., Red (R), Blue... | Mathematics | TestHub
- A Boy whose hobby is tossing a fair coin i... | Mathematics | TestHub
Miscellaneous/Mixed(5)
- Four fair dice and ; each having six faces... | Mathematics | TestHub
- The minimum number of times a fair coin ne... | Mathematics | TestHub
- The probability that a missile hits a targ... | Mathematics | TestHub
- Given that a red face appears on the first... | Mathematics | TestHub
- Let p be the probability of getting a red... | Mathematics | TestHub
Random Variable and its Probability Distribution(35)
- A die is tossed 5 times. Getting an odd nu... | Mathematics | TestHub
- A random variable has the probability dist... | Mathematics | TestHub
- A random variable has Poisson distribution... | Mathematics | TestHub
- At a telephone enquiry system the number o... | Mathematics | TestHub
- If has a binomial distribution, with param... | Mathematics | TestHub
- If the mean and the variance of a binomial... | Mathematics | TestHub
- In a game, a man wins Rs.if he getsoron a... | Mathematics | TestHub
- A bag contains 30 white balls and 10 red b... | Mathematics | TestHub
- Two cards are drawn successively with repl... | Mathematics | TestHub
- A person throws two fair dice. He wins Rs.... | Mathematics | TestHub
- Four fair dice are thrown independently 27... | Mathematics | TestHub
- An unbiased coin is tossedtimes. Suppose t... | Mathematics | TestHub
- A random variablehas the following probabi... | Mathematics | TestHub
- Letbe a random variable such that the prob... | Mathematics | TestHub
- Let be a random variable with distribution... | Mathematics | TestHub
- The probability distribution of random var... | Mathematics | TestHub
- A bag containswhite andblack balls. Three... | Mathematics | TestHub
- A random variable has the following probab... | Mathematics | TestHub
- Letbe a sample space of raddom experiment... | Mathematics | TestHub
- A six faced die is biased such that(a prim... | Mathematics | TestHub
- Consider the square in the figure. Let be... | Mathematics | TestHub
- There rotten apples are mixed accidently w... | Mathematics | TestHub
- If the probability that the random variabl... | Mathematics | TestHub
- Two dice and are rolled. Let the numbers o... | Mathematics | TestHub
- A fairfaces die is rolled repeatedly until... | Mathematics | TestHub
- A coin is biased so that the head is times... | Mathematics | TestHub
- Three balls are drawn at random from a bag... | Mathematics | TestHub
- From a lot of 12 items containing 3 defect... | Mathematics | TestHub
- Three rotten apples are accidently mixed w... | Mathematics | TestHub
- If the probability that the random variabl... | Mathematics | TestHub
- A coin is tossed three times. Let denote t... | Mathematics | TestHub
- Let a random variable X take values with a... | Mathematics | TestHub
- Let be a matrix such that for all and . Le... | Mathematics | TestHub
- Three defective oranges are accidently mix... | Mathematics | TestHub
- A box contains 10 pens of which 3 are defe... | Mathematics | TestHub
Total probability/Bay's Theorem(36)
- Paragraph:Let and be two urns such that co... | Mathematics | TestHub
- Paragraph: A box contains white ball, red... | Mathematics | TestHub
- Paragraph: A box contains white ball, red... | Mathematics | TestHub
- Letbe the number of red and black balls, r... | Mathematics | TestHub
- A computer producing factory has only two... | Mathematics | TestHub
- A box ' ' contanis 2 white, 3 red and 2 bl... | Mathematics | TestHub
- A boxcontainswhite,red andblack balls. Ano... | Mathematics | TestHub
- Two different familiesandare blessed with... | Mathematics | TestHub
- If the probability of hitting a target by... | Mathematics | TestHub
- An urn containsred andgreen balls. A ball... | Mathematics | TestHub
- The minimum number of times one has to tos... | Mathematics | TestHub
- An unbiased coin is tossed. If the outcome... | Mathematics | TestHub
- The probability of a man hitting a target... | Mathematics | TestHub
- A pack of cards has one card missing. Two... | Mathematics | TestHub
- When a certain biased die is rolled, a par... | Mathematics | TestHub
- Let a computer program generate only the d... | Mathematics | TestHub
- In a group ofpeople,are smokers and non-ve... | Mathematics | TestHub
- An electric instrument consists of two uni... | Mathematics | TestHub
- A fair coin is tossedtimes such that the p... | Mathematics | TestHub
- Suppose thatBox-I containsred,blue andgree... | Mathematics | TestHub
- Bagcontainsred,black andwhite balls and Ba... | Mathematics | TestHub
- Bagcontainswhite,black andred balls and ba... | Mathematics | TestHub
- In a bolt factory, machinesandmanufacture... | Mathematics | TestHub
- The urnsandcontainsred,black;red,black and... | Mathematics | TestHub
- of the population are smokers. A smoker ha... | Mathematics | TestHub
- Three urns A, B and C contain 7 red, 5 bla... | Mathematics | TestHub
- There are three bags and . Bag contains 5... | Mathematics | TestHub
- A company has two plants and to manufactur... | Mathematics | TestHub
- A bag containsballs, whose colours are eit... | Mathematics | TestHub
- A student appears for a quiz consisting of... | Mathematics | TestHub
- Two balls are selected at random one by on... | Mathematics | TestHub
- A factory has a total of three manufacturi... | Mathematics | TestHub
- Bag 1 contains 4 white balls and 5 black b... | Mathematics | TestHub
- Bag contains 6 white and 4 blue balls, Bag... | Mathematics | TestHub
- Consider the following three words (writte... | Mathematics | TestHub
- An urn contains five balls. Two balls are... | Mathematics | TestHub
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