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: Identify the problem type

This is a probability problem involving the multiplication of independent events (assuming rain on Wednesday and Saturday are independent, which is a common assumption in such basic probability problems unless stated otherwise). The formula for the probability of two independent events \( A \) and \( B \) both occurring is \( P(A \cap B)=P(A)\times P(B) \).

Step2: Convert percentages to decimals

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

Step3: Calculate the joint probability

Using the formula for independent events, \( P(W\cap S)=P(W)\times P(S)=0.3\times0.6 = 0.18 \). Convert this back to a percentage: \( 0.18\times100 = 18\% \).

Answer:

18 percent