Answer:
0.3333 = 33.33% of this group likes chocolate
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
Of the friends who like sprinkles, what proportion of this group likes chocolate:
So,
Event A: Likes sprinkles
Event B: Likes chocolate
15% of your friends like sprinkles (S) topping.
This means that [tex]P(A) = 0.15[/tex]
5% of your friends like Chocolate (C) and also like sprinkles (S).
This means that [tex]P(A \cap B) = 0.05[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.15} = 0.3333[/tex]
0.3333 = 33.33% of this group likes chocolate
