The diagram below shows the probabilities for events $A$ and $B$, with $P(A') = p$. \(\frac{1}

Question

The diagram below shows the probabilities for events $A$ and $B$, with $P(A') = p$. $\frac{1}{5}$ $A$ $p$ $A'$ $\frac{1}{4}$ $B$ $\frac{3}{4}$ $B'$ $\frac{3}{8}$ $B$ $\frac{5}{8}$ $B'$ Write down the value of $p$. [1] Find $P(B)$.[3] Find $P(A' | B)$. [3]

Accepted Answer

(a) $\frac{4}{5}$ (b) $\frac{7}{20}$ (c) $\frac{6}{7}$

Read a probability tree and calculate a conditional probability.

Read a probability tree and calculate a conditional probability.

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