Rob determined that some teenagers like to eat hot dogs, some like to eat hamburgers, and others don't like to eat hotdogs or hamburgers. He calculated the probabilities and created the Venn diagram below: a venn diagram showing two categories, Hot dogs and Hamburgers. In the hot dogs only circle is 0.3, in the hamburger only circle is 0.4, in the intersection is 0.1, outside the circles is 0.2 What is the probability that a teenager eats hotdogs, given that he/she eats hamburger?

Question

Athena Middleton

Mathematics

3 April, 23:29

Rob determined that some teenagers like to eat hot dogs, some like to eat hamburgers, and others don't like to eat hotdogs or hamburgers. He calculated the probabilities and created the Venn diagram below: a venn diagram showing two categories, Hot dogs and Hamburgers. In the hot dogs only circle is 0.3, in the hamburger only circle is 0.4, in the intersection is 0.1, outside the circles is 0.2 What is the probability that a teenager eats hotdogs, given that he/she eats hamburger?

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Answers (1)

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Steve · Answer 1

Given:

Probability of eating hot dogs only - 0.30

Probability of eating hamburgers only - 0.40

Probability of eating both - 0.1

Probability of not eating any of the 2 - 0.20

Probability of eating hot dogs, given that he/she eats hamburgers

P (Hd | Hb) = P (Hd and Hb) / P (Hb) = 0.10 / 0.40 = 0.25

The probability that a teenager eats hot dogs, given that he/she eats hamburgers is 0.25 or 25%.