Suppose that E and F are two events and that P(E) = 0.7 and P(FIE) = 0.1 . What is P(E and F)?

To find the probability of both events E and F occurring, we can use the formula:

P(E and F) = P(E) * P(F|E)

Given that P(E) = 0.7 and P(F|E) = 0.1, we can substitute these values into the equation:

P(E and F) = 0.7 * 0.1

Multiplying these values together, we get:

P(E and F) = 0.07

Therefore, the probability of both events E and F occurring is 0.07 or 7%.