Match Column-I with Column-II. Column-I: (A) Two red, two green and x black balls are in a bag. Two balls are drawn. The probability that they have different colours is 5/7. Find x. (B) Events A and B

Question

Match Column-I with Column-II. Column-I: (A) Two red, two green and x black balls are in a bag. Two balls are drawn. The probability that they have different colours is 5/7. Find x. (B) Events A and B are independent, with P(A)=1/3, P(B)=1/4 and P(A|Bbar)=a/6. Find a. (C) Find the minimum number of die rolls so that the probability of at least one 1 exceeds 0.5. (D) The odds for exactly 3 heads in 8 tosses are m:25. Find m. Column-II: (P) 4 (Q) 2 (R) 3 (S) odd (T) prime.

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Answer:

A

Solution:

(A) Solving the colour equation gives x=4. (B) Independence gives P(A|Bbar)=1/3=2/6, so a=2. (C) 1-(5/6)^n>1/2 first at n=4. (D) P(3H)=7/32, so the odds are 7:25; 7 is odd and prime.

TestHub · Accepted Answer

(A) Solving the colour equation gives x=4. (B) Independence gives P(A|Bbar)=1/3=2/6, so a=2. (C) 1-(5/6)^n>1/2 first at n=4. (D) P(3H)=7/32, so the odds are 7:25; 7 is odd and prime.

Mathematics - Probability Question with Solution | TestHub

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