Aiden buys a bag of cookies that contains 9 chocolate chip cookies, 8 peanut butter cookies, 8 sugar cookies and 9 oatmeal cookies. What is the probability that Aiden randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a chocolate chip cookie

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10-06-2022
Mathematics

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Aiden buys a bag of cookies that contains 9 chocolate chip cookies, 8 peanut butter cookies, 8 sugar cookies and 9 oatmeal cookies. What is the probability that Aiden randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a chocolate chip cookie

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MrRoyal MrRoyal · Answer 1 · 2022-06-20T17:36:30+02:00

The probability that Aiden randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a chocolate chip cookie is 0.0721

How to determine the probability?

The distribution of the cookies is given as:

9 chocolate chip cookies
8 peanut butter cookies
8 sugar cookies
9 oatmeal cookies

When he eats a cookie, the number of cookies reduces by 1

So, the required probability is:

P(Oatmeal and Chocolate) = Oatmeal/Total * Chocolate/Total - 1

This gives

P(Oatmeal and Chocolate) = 9/(9 + 8 + 8 + 9) * 9/(9 + 8 + 8 + 9 -1)

Evaluate

P(Oatmeal and Chocolate) = 0.0721

Hence, the probability is 0.0721