If two events E and F are independent with P(E) = 0.6 and P(F) = 0.5, what is P(E ∧ F)?

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Multiple Choice

If two events E and F are independent with P(E) = 0.6 and P(F) = 0.5, what is P(E ∧ F)?

Explanation:
When two events are independent, the probability that both occur is the product of their individual probabilities. So P(E ∧ F) = P(E) × P(F) = 0.6 × 0.5 = 0.30. This means there’s a 30% chance that both E and F happen. The other values would correspond to just one event's probability (0.60 or 0.50) or require a different relationship between the events.

When two events are independent, the probability that both occur is the product of their individual probabilities. So P(E ∧ F) = P(E) × P(F) = 0.6 × 0.5 = 0.30. This means there’s a 30% chance that both E and F happen. The other values would correspond to just one event's probability (0.60 or 0.50) or require a different relationship between the events.

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