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17 July, 16:55

The probability that a football game will go into overtime is 18 %. What is the probability that exactly two of three football games will go to into overtime? Round to the nearest thousandth.

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  1. 17 July, 18:24
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    0.027

    Step-by-step explanation:

    Let the probability of a match going to overtime be P (O) and the probability of a match not going to overtime be P (N).

    Now we are given some values: P (O) = 18% = 18/100 = 0.18

    Also, we know that P (N) = 1 - P (O) since there are only two options here.

    P (N) = 1 - 0.18 = 0.82

    Now, we are asked to find the probability that exactly two of three games will go into overtime

    This is P = P (O) * P (O) * P (N)

    P = 0.18 * 0.18 * 0.82 = 0.026568 = 0.027 to the nearest thousandth
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