Question

the probability of shirley getting an a in math is 0.65, and the probability of her getting an a in science is 0.62. what is the probability that shirley gets an a in both courses? 0.4 0.5 0.6 0.7

Explanation:

Step1: Recall the multiplication rule for independent events.

If two events \( A \) (getting an A in math) and \( B \) (getting an A in science) are independent, the probability of both occurring is \( P(A \cap B)=P(A)\times P(B) \). Assume the events are independent.

Step2: Calculate the probability.

Given \( P(A) = 0.65 \) and \( P(B)=0.62 \), then \( P(A \cap B)=0.65\times0.62 = 0.403 \approx 0.4 \).

Answer:

0.4 (corresponding to the option with 0.4)