A student attempts three papers for an examination. The probability that he passes the first paper i

Question

A student attempts three papers for an examination. The probability that he passes the first paper is $0.7$. If he passes a paper, the probability of him passing the next paper increases by $0.05$. If he fails a paper, the probability of him passing the next paper is $0.7$. Draw a tree diagram to represent this situation, showing all possible outcomes. [3] Find the probability that the student passes at least two of the three papers. [2] Find the probability that the student passes his third paper, given that he passed only once in either the first paper or the second paper. [3]

Accepted Answer

(i) Tree diagram shown, (ii) $0.805$, (iii) $\frac{8}{11}$

2022 CJC J2 MYE Q6

2022 CJC J2 MYE Q6

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