Suppose your friends have the following ice cream flavor preferences:

70% of your friends like Chocolate (C). The remaining do not like Chocolate.

40% of your friends like Sprinkles (S) topping. The remaining do not like Sprinkles.

25% of your friends who like Chocolate (C) also like Sprinkles (S).

Of the friends who like Chocolate, which of the following probabilities do you need to find in order to determine the proportion of friends who like Chocolate that also like Sprinkles?

P (C)

P (S)

P (C and S)

P (C | S)

P (S | C)

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Question

Mathematics

Shayla Wu

6 June, 11:22

Suppose your friends have the following ice cream flavor preferences:

70% of your friends like Chocolate (C). The remaining do not like Chocolate.

40% of your friends like Sprinkles (S) topping. The remaining do not like Sprinkles.

25% of your friends who like Chocolate (C) also like Sprinkles (S).

Of the friends who like Chocolate, which of the following probabilities do you need to find in order to determine the proportion of friends who like Chocolate that also like Sprinkles?

P (C)

P (S)

P (C and S)

P (C | S)

P (S | C)

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Answers (1)

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Furball · Answer 1

The correct answer is P (S | C)

Step-by-step explanation:

We are limiting our interest to friends who like Chocolate only, so we condition on C. Out of the friends who like chocolate (C), we are interested in the probability of liking sprinkles (S). Therefore, we are interested in P (S | C).

Thus, the correct answer of this is P (S | C) which means the last option is the correct option.