Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Easy2 minQB

MathematicsEasysingle choice

Two persons A and B are throwing 3 dice taking turns. If A throws 8 then the probability that B throws a higher number is

Answer:

Solution:

Let $E$ be the event that $B$ throws a number more than 8. Then $P (E) = 1 - P (\overset{ˉ}{E})$ .

The number of positive integral solutions of $x + y + z \leq 8$ is given by $∣ \overset{ˉ}{E} ∣ =^{8} C_{3} = 56$ .

The total number of possible outcomes is $∣ S ∣ = 216$ .

Therefore, $P (\overset{ˉ}{E}) = \frac{56}{216} = \frac{7}{27}$ .

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:General (Event SS, Definitions, Odd against/Favour)

⏱ 2mℹ️ Source: QB

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