A candidate takes three tests in succession and the probability of passing the first test is p. The probability of passing each succeeding test is p or p/2 according as he passes or fails in the preceding one.The candidate is selected if he;passes at least two tests.The probability that the candidate is selected is

AP EAMCET Engineering 2014 Code A Solved Paper

Question : 39 of 160

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A candidate takes three tests in succession and the probability of passing the first test is p. The probability of passing each succeeding test is p or

according as he passes or fails in the preceding one.The candidate is selected if he;passes at least two tests.The probability that the candidate is selected is

p(2−p)
p+p2+p3
p2(1−p)
p2(2−p)

Validate

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