Suppose your friends have the following ice cream flavor preferences: 70% of your friends like chocolate (C). The remaining do n
ot like chocolate. 40% of your friends sprinkles (S) topping. The remaining do not like sprinkles. 25% of your friends like chocolate (C) and also like sprinkles (S). If your friend had chocolate, how likely is it that they also had sprinkles? (Note: Some answers are rounded to 2 decimal places). a. P(C)b. P(S)c. P(C and S)d. P(C | S)e. P(S | C)
The probability that your friend had sprinkles given that he had chocolate is approximately 0.357 or 0.36 if you round it to 2 decimals.
Step-by-step explanation:
Let's define the following events:
C = "Your friends like chocolate flavor"
S = "Your friends like sprinkles topping"
We also know that , and . We are interested in the probability of given that your friend had chocalate what is the probability that he also likes sprinkles, in other words we want . Note that,