Two independent events have probabilities 0.60 and 0.50. What is the probability both occur?

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Multiple Choice

Two independent events have probabilities 0.60 and 0.50. What is the probability both occur?

Explanation:
Independent events: the chance that both occur is the product of their individual probabilities. Since the events don’t affect each other, multiply 0.60 by 0.50 to get 0.30. That means a 30% chance both happen. The other values would correspond to just one event’s chance (0.60 or 0.50) or an impossible sum (1.10). The correct joint probability is 0.30.

Independent events: the chance that both occur is the product of their individual probabilities. Since the events don’t affect each other, multiply 0.60 by 0.50 to get 0.30. That means a 30% chance both happen. The other values would correspond to just one event’s chance (0.60 or 0.50) or an impossible sum (1.10). The correct joint probability is 0.30.

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