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12 September, 15:49

Assume red and green are equally likely occurrences. Using Pascal's triangle, what is the probability that you will get one green light in a row of five lights? a. 3/16 b. 1/32 c. 5/16 d. 5/32

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  1. 12 September, 16:11
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    5/32.

    Step-by-step explanation:

    1

    1 1

    1 2 1

    1 3 3 1

    1 4 6 4 1

    1 5 10 10 5 1

    As there are 5 lights we need the last row in the above Pascals triangle.

    And there is 1 red and 4 green ( = 5) and it can happen in 5 ways, so that gives us the second term in the last row. The total in that last row = 1+5+10+10+5+1 = 32.

    so the probability is 5/32.
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