Riley buys a bag of cookies that contains 5 chocolate chip cookies, 4 peanut butter cookies, 8 sugar cookies and 4 oatmeal cookies. What is the probability that Riley randomly selects a chocolate chip cookie from the bag, eats it, and then randomly selects a peanut butter cookie?

Respuesta :

Probability that Riley randomly selects a chocolate chip cookie from the bag, eats it, and then randomly selects a peanut butter cookie is 20/441

Total number of cookies = 5 + 4 + 8 + 4 = 21

Number of chocolate chip cookies = 5

Number of peanut butter cookies = 4

Number of sugar cookies = 8

Number of oatmeal cookies = 4

Probability of selecting chocolate chip cookies = 5/21

Probability of selecting peanut butter cookies = 4/21

Probability of selecting sugar cookies = 8/21

Probability of selecting oatmeal cookies = 4/21

P(selects chocolate chip cookie, eats it, then selects peanut butter cookie) =

(5/21) x (4/21) = 20/441 --> 20/441

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