Mathematics 9709 · AS & A Level · Probability

Probability — practice question

For a particular region, each day in October has a wet-day probability of $0.16$, independently of the other days.
(a)[3]

Find the probability that fewer than 3 days are wet during a 10-day period in October.

(b)[2]

Find the probability that the first wet day in October occurs on 8 October.

(c)[2]

For 4 randomly chosen years, determine the probability that exactly 1 of them has its first wet day in October on 8 October.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Valid binomial probability expression for $P(0,1,2)$

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