SOLUTION: Jason determined that some teens like to eat vanilla ice cream, some like to eat chocolate ice cream, and others don't like to eat chocolate or vanilla. He calculated the probabili

Question 898066: Jason determined that some teens like to eat vanilla ice cream, some like to eat chocolate ice cream, and others don't like to eat chocolate or vanilla. He calculated the probabilities and created the Venn diagram below:
a venn diagram showing two categories, vanilla and chocolate. In the vanilla only circle is 0.4, in the chocolate only circle is 0.3, in the intersection is 0.2, and in outside the circles is 0.1
What is the probability that a teen eats vanilla ice cream, given that he/she eats chocolate ice
Found 2 solutions by richwmiller, stanbon:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
20 out of 50 chocolate eaters also eat vanilla
2/5 or 40%
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Jason determined that some teens like to eat vanilla ice cream, some like to eat chocolate ice cream, and others don't like to eat chocolate or vanilla. He calculated the probabilities and created the Venn diagram below:
a venn diagram showing two categories, vanilla and chocolate. In the vanilla only circle is 0.4, in the chocolate only circle is 0.3, in the intersection is 0.2, and in outside the circles is 0.1
What is the probability that a teen eats vanilla ice cream, given that he/she eats chocolate ice
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P(V | C) = P(V and C)/P(C) = 0.2/0.3 = 0.066
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Cheers,
Stan H.
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