the weather report states that the probability it will rain on wednesday is 30 percent and the probability…

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?\n2 percent\n18 percent\n60 percent\n90 percent

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?\n2 percent\n18 percent\n60 percent\n90 percent

Answer

Explanation:

Step1: Identify the events

Let event A be rain on Wednesday with $P(A)=0.3$, and event B be rain on Saturday with $P(B) = 0.6$.

Step2: Use the multiplication rule for independent events

Since the events of rain on Wednesday and rain on Saturday are assumed to be independent, the probability of both events occurring is $P(A\cap B)=P(A)\times P(B)$. $P(A\cap B)=0.3\times0.6$ $P(A\cap B)= 0.18$

Answer:

18 percent