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The school cafeteria has chocolate chip cookies and oatmeal cookies for dessert. What is the probability that exactly 3 of the next 5 students in line will select chocolate chip cookies if everyone selects a cookie, and students prefer chocolate to oatmeal 2 to 1?

User Tim Rupe
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1 Answer

3 votes

Answer:

The probability that 3 out of 5 student select chocolate chip cookie is 2/5

Explanation:

The number of student in the sample = 5

The number of student that select the chocolate chip cookie = 3

The ratio of preference of chocolate to oatmeal = 2 to 1

Therefore, out of every 3 cookie, selected, 2 are chocolate while one is oatmeal

Which gives;

The probability that a cookie selected is chocolate = 2/3

The combined probability that 3 out of 5 student select chocolate chip cookie is therefore;

P(3 of 5 select chocolate chip cookie) = 3/5 × 2/3 = 6/15 = 2/5

The probability that 3 out of 5 student select chocolate chip cookie = 2/5.

User Atw
by
5.6k points
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