Question

what is the probability that both events b and c will occur? p(b) = 3/4 p(c) = 3/5 p(b and c) = p(b)·p(c) p(b and c) = ?

Explanation:

Step1: Identify given probabilities

$P(B)=\frac{3}{4}$, $P(C)=\frac{3}{5}$

Step2: Use multiplication rule

$P(B\text{ and }C)=P(B)\times P(C)=\frac{3}{4}\times\frac{3}{5}$

Step3: Calculate the product

$\frac{3}{4}\times\frac{3}{5}=\frac{3\times3}{4\times5}=\frac{9}{20}$

Answer:

$\frac{9}{20}$