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The table shows the probabilities of winning or losing when the team is playing away or is playing at home.

Are the events “winning” and “playing at home” independent? Show your calculations to justify why or why not.
Are the events “losing” and “playing away” independent? Show your calculations to justify why or why not.

Guest Apr 25, 2022

CPhill · Answer 1 · 2022-04-25T09:30:04

Test for independence

P( A and B) = P(A) * P(B)

1) P ( winning and playing at home) =P(winning) * P (playing at home)???

.51 = .85 * .6 ???

.51 = .51 (independent)

2 ) .6 = .15 * . 4 ???

.6 = .06 ??? (No....not independent )

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