Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeometrical ProbabilityMedium2 minQB
MathematicsMediumsingle choice
Passage / Comprehension

Players A, B, C throw in order until someone throws 6. Player A uses a fair die; B and C throw 6 with probabilities p_1 and p_2, respectively.

Find if all three players are equally likely to win.

Options:

Answer:
C
Solution:

Equality gives p_1=p_2(1-p_1) and (1-p_1)(1-p_2)=3/5. Thus p_1=1/5, p_2=1/4, so p_1:p_2=4:5.

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Geometrical Probability
2mℹ️ Source: QB

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