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In an examination, a candidate takes three tests namely in succession and the probability of…
In an examination, a candidate takes three tests namely $\alpha, \beta, \gamma$ in succession and the probability of failing the first test $\alpha$ is $\frac{1}{2}$. The probability of passing each succeeding test is $\frac{1}{2}$ or $\frac{1}{4}$ according to whether he passes or fails in the preceding one. The candidate is selected, if he passes at least two tests. What is the probability that candidate is selected?
- (a)$\frac{3}{8}$
- (b)$\frac{1}{8}$
- (c)$\frac{5}{8}$
- (d)$\frac{3}{4}$
Answer
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From ISC 2025 Practice Mathematics, question 23.