Probability-Law of Total Probability (ISS Statistics Paper I (New 2016 MCQ Pattern)): Questions 5 - 5 of 5

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Question number: 5

» Probability » Law of Total Probability

MCQ▾

Question

Two players A and B are competing at a trivia quiz game involving a series of questions. On any individual question, the probabilities that A and B give the correct answer are α and β respectively, for all questions, with outcomes for different questions being independent. The game finishes when a player wins by answering a question correctly. What is the probability that A wins if B answers the first question?

Choices

Choice (4) Response

a.

β1(1α)(1β)

b.

(1α)β1(1α)(1β)

c.

(1β)α1(1α)(1β)

d.

α1(1α)(1β)

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