Question

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

Answer 1

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