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25 June, 06:15

Angie and Eric have opened a jumbo bag of candies and counted the number of each color. They have 100 red, 180 green, 90 yellow, and 130 brown candies. Sarah and Laney each take turns drawing a candy, replacing each candy after they draw. If Angie and Eric each draw a candy 500 times, how many times should they expect for Angie to draw a brown candy followed by Eric drawing a red candy?

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  1. 25 June, 07:18
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    26 times.

    Step-by-step explanation:

    Total number of candies = 500.

    Probability (Angie drawing a brown candy) = 130/500 = 13/50.

    Probability (Eric drawing a red candy) = 100/500 = 1/5.

    So Probability (Angie drawing brown then Eric drawing a red) = 13/50 * 1/5

    = 13/250.

    Therefore the expectation of the number of times this will happen

    = Probability * total number of draws

    = (13/250) * 500

    = 13 * 2

    = 26 times.
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