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20 September, 21:02

If Coach White coaches, the probability of being goalie is 0.55.

If Coach Jackson coaches, the probability of being goalie is 0.35.

If Coach White is the coach 70% of the time, what is the probability that Mitchell will be a goalie today?

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  1. 20 September, 21:18
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    49% probability that Mitchell will be a goalie today

    Step-by-step explanation:

    If Coach White coaches, the probability of being goalie is 0.55.

    Coach White has a 70% probability of coaching.

    If Coach Jackson coaches, the probability of being goalie is 0.35.

    Coach Jackson has a 100-70 = 30% probability of coaching.

    What is the probability that Mitchell will be a goalie today?

    This is 55% of 70% plus 35% of 30%

    Then

    P = 0.55*0.7 + 0.35*0.3 = 0.49

    49% probability that Mitchell will be a goalie today
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