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? 2 percent 18 percent 60 percent 90 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? 2 percent 18 percent 60 percent 90 percent

Answer

Explanation:

Step1: Identify the events as independent

The rain on Wednesday and on Saturday are independent events.

Step2: Use the formula for independent - event probability

For independent events (A) and (B), (P(A\cap B)=P(A)\times P(B)). Let (A) be the event of rain on Wednesday and (P(A) = 0.3), and (B) be the event of rain on Saturday and (P(B)=0.6). Then (P(A\cap B)=0.3\times0.6).

Step3: Calculate the probability

(0.3\times0.6 = 0.18), which is 18 percent.

Answer:

18 percent