5.Assume your favorite soccer team has 2 games left to finish the season. The ou

Question

5.Assume your favorite soccer team has 2 games left to finish the season. The outcome of each game can be win, lose or tie. The number of possible outcomes is a. 2 c. 6 d. 9 b. 4 6.1f P(A) = 0.58, P(B) = 0.44, and P(An B) = 0.25, then P(A u B)- a. 1.02 d. 0.39 7.The sample space refers to a. any particular experimental outcome b. the sample size minus one c. the set of all possible experimental outcomes d. an event 8. If A and B are independent events with P(A)-0.2 and P(B) = 0.6, then P(AUB) a. 0.62 b. 0.12 C. 0.60 d. 0.68 9.1f A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(AB) = a. 0.05 b. 0.0325 c. 0.65 d. 0.8 10. If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A n B)- a. 0.30 b. 0.15 c. 0.00 d. 0.20

Explanation / Answer

5) Total number of outcomes = 2 * 2 = 4

Option-B) 4

6) P(A U B) = P(A) + P(B) - P(A B) = 0.58 + 0.44 - 0.25 = 0.77

Option-B) 0.77

7) Option-C) the set of all possible experimental outcomes

8) If A and B are independent events , P(A B) = P(A) * P(B) = 0.2 * 0.6 = 0.12

P(A U B) = P(A) + P(B) - P(A B) = 0.2 + 0.6 - 0.12 = 0.68

Option-D) 0.68

9) For independent events, P(A | B) = P(A) = 0.05

Option-A) 0.05

10) P(A B) = 0

Option-C) 0

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