Events $A$ and $B$ are such that $\mathrm{P}(A) = 0.4$, $\mathrm{P}(B) = 0.8$ and \(\ma

Question

Events $A$ and $B$ are such that $\mathrm{P}(A) = 0.4$, $\mathrm{P}(B) = 0.8$ and $\mathrm{P}(A' | B) = 0.6$. Describe in words what is meant by $\mathrm{P}(A' | B)$.[1] Find $\mathrm{P}(A' \cap B)$.[2] Find the probability that none of $A$ and $B$ occurs.[3] Determine whether events $A$ and $B$ are independent.[2]

Accepted Answer

(i) A does not occur given B occurs; (ii) $0.48$; (iii) $0.12$; (iv) independent.

2024 MI H1 Q8

2024 MI H1 Q8

Solution:

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