each year a high school holds a bake sale as a fundraiser for its band. the orga
ID: 3375684 • Letter: E
Question
each year a high school holds a bake sale as a fundraiser for its band. the organizers known from past experience 20% of the baked goods will be pies, 30% of the baked goods will be cakes and 50% of the baked goods will be cookies. Talora is a huge contributor to the bake sale. She consistently bakes 30% of of the pies for the sale, 40% of the cakes for the sale, and 25% of the cookies for the sale.
a)Using this information, what is the probability that a baked good purchased at this sale was baked by Talora?
b)Using this information, what is the probablity that given Talora was the baker of a purchased good , the purchased good was cookies?
Explanation / Answer
a) probability that a baked good purchased at this sale was baked by Talora
= 0.20*0.30+0.30*0.40+0.50*0.25
= 0.305
b) P(Cookies/given Talora was the baker of a purchased good )
= (0.50*0.25)/0.305
= 0.4098
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