Question

Wade buys a bag of cookies that contains 6 chocolate chip cookies, 5 peanut butter cookies, 5 sugar cookies and 8 oatmeal cookies. What is the probability that Wade randomly selects a sugar cookie from the bag, eats it, then randomly selects a peanut butter cookie

Answer 1

P( sugar cookies then peanut butter cookie)  = 0.0652173

What is Probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true. The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.

According to the information:

6 chocolate chip cookies

5 peanut butter cookies

5 sugar cookies

8 oatmeal cookies

Total number of cookies purchased = (6+5+5+8) = 24

We know that the formula is:

Probability, P= required outcome /total possible outcomes

This selection without replacement probability problem is as follows:

P( sugar cookies) = 5/24

Then ;

P(peanut butter cookie) = 6/23

P( sugar cookies then peanut butter cookie) = 1/4 * 6/23 = 0.0652173

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