Question

In a school, 52% of the children put ketchup on their hot dog, 71% put mustard on their hot dog, and 37% use both condiments. Find the probability that someone uses mustard on their hotdog given that they use ketchup?

A) 0.355
B) 0.712
C) 0.37
D) 0.96

Answer 1

The probability that someone uses mustard on their hotdog given that they use ketchup is found using conditional probability and is 0.712, so the correct answer is B) 0.712.

Step-by-step explanation:

The problem falls under the category of conditional probability. Since we know that 52% of the children put ketchup and 37% use both ketchup and mustard, we can find the probability that a child uses mustard on their hotdog given that they use ketchup. This is a case of conditional probability which is calculated using the following formula:

P(Mustard | Ketchup) = P(Mustard and Ketchup) / P(Ketchup)

The probability that someone uses mustard on their hotdog given that they use ketchup is:

P(Mustard | Ketchup) = P(Mustard and Ketchup) / P(Ketchup) = 0.37 / 0.52 = 0.712

Therefore, the correct answer is B) 0.712.