Consider a spinner with numbers 1–8 and a number cube with numbers 1–6. Let event A represent landing on a number greater than 3 on the spinner and event B represent rolling a number greater than 3 on the number cube. Find P(A∩B) . Enter your response as a fraction.

Answer 1

Event A: landing on a number greater than 3 on the spinner = {4, 5, 6, 7, 8} (5 outcomes)
Event B: rolling a number greater than 3 on the number cube = {4, 5, 6} (3 outcomes)

The outcomes where both events A and B occur are {4, 5, 6}.

Therefore, the probability of event A and event B both occurring, P(A∩B), is:

P(A∩B) = 3/48 = 1/16