Final answer:
To find the probability that the chosen student is either female OR received an A grade, we need to sum the probabilities of these two events occurring separately and subtract the probability of both events occurring together.
Step-by-step explanation:
To find the probability that the chosen student is either female OR received an A grade, we need to sum the probabilities of these two events occurring separately and subtract the probability of both events occurring together.
Let's assume the probability of choosing a female student is P(F) and the probability of choosing a student who received an A grade is P(A). The probability of choosing a female student is 60% and the probability of choosing a student who received an A grade is 40%.
To find the probability that a student is either a female OR received an A grade, we add P(F) and P(A) and then subtract the probability of both events occurring together, which is the product of P(F) and P(A). So, the probability is:
P(F) + P(A) - P(F and A)
0.60 + 0.40 - 0.45 = 0.55
Therefore, the probability that the chosen student is either female OR received an A grade is 55%.