Question

the diagram below represents an experiment consisting of two independent trials. find p(b and c). p(b and c) =

Explanation:

Step1: Use the formula for independent events

For two independent events \(E_1\) and \(E_2\), \(P(E_1\text{ and }E_2)=P(E_1)\times P(E_2)\). Here, \(E_1 = B\) with \(P(B)=\frac{3}{4}\), and \(E_2 = C\) (the \(C\) that branches from \(B\)) with \(P(C)=\frac{3}{8}\).

Step2: Calculate the product

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Answer:

\(\frac{9}{32}\)