SOLUTION: I need help with this. Bayes's theorem on conditional probabilities states that, if P(B) is not 0, then Cookies. Mary bakes seven chocolate chip cookies and

Question 1040003: I need help with this.

Bayes's theorem on conditional probabilities states that, if P(B) is not 0, then

Cookies. Mary bakes seven chocolate chip cookies and 10 peanut butter cookies. Bill bakes 5 chocolate chip cookies and 10 peanut butter cookies. The 32 cookies are put together and offered on a single plate. I pick a cookie at random from the plate.
What is the probability that the cookie is chocolate chip?
(Fill in the blanks below and give your answers as whole numbers. Leave your answer as a fraction in simplest form.)
The probability that the cookie is chocolate chip is
What is the probability that Mary baked the cookie?
(Fill in the blanks below and give your answers as whole numbers. Leave your answer as a fraction in simplest form.)
The probability that Mary baked the cookie is

What is the probability that the cookie is chocolate chip given that Mary baked it?
(Fill in the blanks below and give your answers as whole numbers. Leave your answer as a fraction in simplest form.)
The probability that the cookie is chocolate chip given that Mary baked it is

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
--------CC---------PB--------Total
Mary---7-----------10---------17
Bill-----5-----------10---------15
Total--12-----------20---------32
a. 12/32=3/8
b. Mary baked it is 17/32
c. 7/17

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