Question

If p(e) = 0.30 and p(f) = 0.45, find the probability of the indicated event.

Answer 1

In mathematics, two events A and B are considered independent if knowing the outcome of one event doesn't affect the probability of the other event. In this case, the events of being female and having long hair are not independent.

Step-by-step explanation:

The question involves finding the probability of an event when given the probabilities of two separate events. To address the question, we need information about the relationship between the events (e.g., are they independent, mutually exclusive, etc.). In mathematics, when we have two events A and B, we say that they are independent if knowing the outcome of one event doesn't affect the probability of the other event. In this case, we need to find if the events of being female (F) and having long hair (L) are independent.

1. First, we check if P(F AND L) = P(F) * P(L).
2. We are given that P(F AND L) = 0.45, and P(F) = 0.60 and P(L) = 0.50.
3. Substituting the values, we have 0.45 = 0.60 * 0.50 = 0.30.
4. Since P(F AND L) does not equal P(F) * P(L), we can conclude that the events F and L are not independent.