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Goryan [66]
3 years ago
6

Catherine buys a bag of cookies that contains 8 chocolate chip cookies, 9 peanut butter cookies, 5 sugar cookies and 7 oatmeal c

ookies. What is the probability that Catherine randomly selects a sugar cookie from the bag, eats it, then randomly selects an oatmeal cookie? Express you answer as a reduced fraction.
Mathematics
1 answer:
posledela3 years ago
3 0

Answer:

Step-by-step explanation:

Given: 8 chocolate chip cookies, 9 peanut butter cookies, 5 sugar cookies and 7 oatmeal cookies.

=> Total cookies are: 29

  • The possible outcomes of sugar cookie: C^{1} _{5} = 5 and the total possible outcomes: 25
  • The possible outcomes of oatmeal cookie: C^{1} _{7} = 7 the total possible outcomes 25-1 =24 because Catherine eats it

The probability that Catherine randomly selects a sugar cookie from the bag, eats it, then randomly selects an oatmeal cookie:

P(sugar then oatmeal) = \frac{5}{25} \frac{7}{24} = \frac{7}{120} = 0.058  

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