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In: Statistics and Probability

In three independent flips of a coin where there is a 54​% chance of flipping a...

In three independent flips of a coin where there is a 54​% chance of flipping a tail​, let A denote​ {first flip is a tail​}, BE denote​ {second flip is a tail​}, C denote​ {first two flips are tail​s}, and D denote​ {three tails on the first three​ flips}. Find the probabilities of​ A, B,​ C, and​ D, and determine​ which, if​ any, pairs of these events are independent. ​P(A)equals nothing ​(Round to two decimal places as​ needed.) ​P(B)equals nothing ​(Round to two decimal places as​ needed.) ​P(C)equals nothing ​(Round to four decimal places as​ needed.) ​P(D)equals nothing ​(Round to four decimal places as​ needed.) Which of these pairs of events are​ independent? A. Events A and C because​ P(A and ​C)equals​P(A)times​P(C). B. Events A and B because​ P(A and ​B)equals​P(A)times​P(B). C. None of the pairs of events are independent. D. Events C and D because​ P(C and ​D)equals​P(C)times​P(D).

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orchestra answered 2 years ago
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