If two events are mutually exclusive, what is the probability that both occur at the same time?

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12 Aug 2019

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1 , mark 9. E and F are two events defined on sample space S, with Pr[E] = 0.5 and Pr[F] = 0.4. If it is known that Pr[EUF] = 0.8, which of the following statements is/are true? (i) E and F are independent events (ii) E and Fare mutually exclusive events A: Both. B: (i) only. C: (ii) only. D: Neither. E: Cannot be determined.

1 5 mark . It is known that events E and F are mutually exclusive, with Pr[E] = 0.3 and Pr[F] = 0.5. Find Pr[Eºn Fº]. A: 0 B: 0.15 C: 0.85 D: 0.2 E: 0.8

21. Suppose that the two weather conditions, W - for windy, and R - for rainy, are independent events for tomorrow's weather. Suppose that the probability of W is 0.4 and the probability of R is 0.3. What is the probability of a windy but dry day tomorrow? (A) 0.0 (B) 0.1 (C) 0.28 (D) 0.12 (E) 0.18

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If two events are mutually exclusive, what is the probability that both occur at the same time?

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