Final answer:
The probability of getting an A in both math and science is calculated by multiplying the individual probabilities, resulting in a 40.3% chance of getting an A in both courses.
Step-by-step explanation:
The probability of getting an A in both math and science simultaneously can be found by multiplying the probability of getting an A in math by the probability of getting an A in science, assuming that these two events are independent. In this case, the probability of getting an A in math is 0.65, and the probability of getting an A in science is 0.62.
Therefore, to find the probability of getting an A in both courses, you would calculate:
P(A in math AND A in science) = P(A in math) × P(A in science)
P(A in both) = 0.65 × 0.62 = 0.403
So, the probability of getting an A in both math and science is 0.403, or 40.3%.