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11 December, 22:48

The probability that a randomly selected car will be in an accident in the next year in a particular country is 0.0467. If four cars are randomly selected, find the probability that at least one has an accident during the coming year. Round to 4 decimals.

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  1. 12 December, 00:39
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    The probability that at least one has an accident during the coming year is 0.1336

    Step-by-step explanation:

    The probability that a randomly selected car will be in an accident in the next year in a particular country is 0.0467

    P (Accident) = 0.0467

    P (No accident) = 1-P (Accident) = 1-0.0467=0.9533

    Now we are supposed to find four cars are randomly selected, find the probability that at least one has an accident during the coming year

    So, P (Out of 4 at least 1 has accident) = 1-P (none of the 4 cars has accident)

    P (Out of 4 at least 1 has accident) = 1 - (0.9533) (0.9533) (0.9533)

    P (Out of 4 at least 1 has accident) = 0.1336

    Hence the probability that at least one has an accident during the coming year is 0.1336
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