## 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 bro

Question

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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Math
4 months
2022-02-02T01:12:16+00:00
2022-02-02T01:12:16+00:00 1 Answer
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## Answers ( )

Answer: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.