Question

the Venn diagram shows the number of people in a group of friends who have brown hair and green eyes​

Answer 1

9514 1404 393

Answer:

1. a. 1/4

2. c. 1/3

Explanation:

1. P(g | b) = P(g&b)/P(b) = (1/11)/(4/11) = 1/4

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2. P(b | g) = P(g&b)/P(g) = (1/11)/(3/11) = 1/3

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Comment on the solutions

Here, we have used the probabilities, which required that we determine the total number of people as well as the number in each circle. One could just as easily use only the numbers in the relevant circle.

1. of the 4 folks with brown hair, 1 has green eyes, so 1/4 is the probability of green eyes, given brown hair.

2. of the 3 folks with green eyes, 1 has brown hair, so 1/3 is the probability of brown hair, given green eyes.