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16 August, 12:21

From police records, it has been determined that 15% of drivers stopped for routine license checks are not wearing seat belts. if a police officer stops 10 vehicles, how likely is it that two consecutive drivers won't be wearing their seat belts?

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  1. 16 August, 12:24
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    Answer: Not very likely to get two consecutive drivers wearing seat belts.

    Explanation:

    From the question the report shows only 15% percent wear seat belts.

    If 10 cars are selected at random the possibility of getting at least one wearing seat belt is

    = 10 * 15/100

    ==> 1.5 out of 10

    1.5, is not upto average of 10 it's just a bit above the zero mark. Which makes the chances of meeting at least one driver wearing seat belt low.

    To get consecutive drivers wearing seat belts, would be even a lower possibility. This is so due to the fact that according to the records the chances of meeting a driver on seat belts is low, and the possibility of it happening in quick succession is going to be smaller, because overall percentage of drivers wearing seat belts is small.
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