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 60 percent 90 percent

Explanation:

Step1: Convert percentages to decimals

The probability of rain on Wednesday \(P(W)=30\% = 0.3\), and the probability of rain on Saturday \(P(S)=60\%=0.6\).

Step2: Use the formula for the probability of independent events

If two events \(A\) and \(B\) are independent, \(P(A\cap B)=P(A)\times P(B)\). Here, the events of raining on Wednesday and Saturday are independent. So \(P(W\cap S)=P(W)\times P(S)\).
Substitute the values: \(P(W\cap S)=0.3\times0.6 = 0.18\).

Step3: Convert the decimal back to a percentage

Multiply the result by \(100\) to get the percentage. \(0.18\times100 = 18\%\).

Answer:

18 percent