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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...Question
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.
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GPT 3.5
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
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
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