Question

the weather report states that the probability it will rain on wednesday is 30 percent and the probability that it will rain on saturday is 60 percent. what is the probability that it will rain on wednesday and on saturday? 2 percent 18 percent 90 percent 60 percent

Explanation:

Step1: Identify the probabilities

Let $P(W)$ be the probability of rain on Wednesday and $P(S)$ be the probability of rain on Saturday. Given $P(W)=0.3$ and $P(S) = 0.6$.

Step2: Use the multiplication - rule for independent events

Assume that the events of raining on Wednesday and raining on Saturday are independent. The probability of two independent events $A$ and $B$ both occurring is $P(A\cap B)=P(A)\times P(B)$. So $P(W\cap S)=P(W)\times P(S)$.
$P(W\cap S)=0.3\times0.6 = 0.18$

Answer:

18 percent