Question

question 26
shantel buys a bag of cookies that contains 4 chocolate chip cookies, 5 peanut butter cookies, 7 sugar cookies and 8 oatmeal cookies. what is the probability that shantel randomly selects a sugar cookie from the bag, eats it, then randomly selects an oatmeal cookie? express you answer as a reduced fraction.
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Explanation:

Step1: Calculate total cookies

Total = 4 + 5 + 7 + 8 = 24

Step2: Probability of sugar cookie first

P(sugar) = $\frac{7}{24}$

Step3: Probability of oatmeal next

After removing 1 sugar cookie, total = 23. P(oatmeal) = $\frac{8}{23}$

Step4: Multiply probabilities

P(both) = $\frac{7}{24} \times \frac{8}{23}$ = $\frac{56}{552}$

Step5: Simplify fraction

Divide numerator and denominator by 8: $\frac{7}{69}$

Answer:

$\frac{7}{69}$