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26 October, 03:05

A fair die is rolled 5 times. What is the probability that a 3 is obtained on at least one of the rolls? Round your answer to three decimal pla

(If necessary, consult a list of formulas.)

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  1. 26 October, 03:25
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    0.200

    Step-by-step explanation:

    The probability of obtaining a 3, in one roll of a fair die is 1/6.

    Now, we have 5 rolls.

    We now want to know the probability of a 3 showing up in at least one of the rolls.

    This simply mean, we add the probabilities of three showing one time plus probability of three showing in 2 of the rolls e. t. c

    This means we can have 3 showing up to 5 times.

    We add the probabilities as follows:

    (1/6) + (1/6) ^2 + (1/6) ^3 + (1/6) ^4 + (1/6) ^5 = 0.199974 = 0.200
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