A jar contains 3 chocolate cookies, 5 peanut butter cookies, and 6 coconut cookies. If 3 cookies are selected in succession, what is the probability of selecting chocolate, then peanut butter, and then coconut cookies, if replacement occurs each time?

Question

anonymous · Answer

Total number of cookies = 3+5+6 = 14

The probability of the first cookie being a chocolate is the total number of chocolate cookies divided by all of the cookies:

3/14

Because you then replace the cookie each time, the total stays at 14.

Peanut Butter:

5/14

Coconut:

6/14

If the cookie didn't go back in then the number of total would decrease each time resulting in PB: 3/13 and Coconut: 6/12 or 1/2

rainbow_dash · Answer

thanks :)