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Sagot :
Answer:
0.4 = 40% 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.
In this questions:
Event A: Likes sprinkles
Event B: Likes chocolate.
20% of your friends like sprinkles (S) topping.
This means that [tex]P(A) = 0.2[/tex]
8% of your friends like Chocolate (C) and also like sprinkles (S).
This means that [tex]P(A \cap B) = 0.08[/tex]
Of the friends who like sprinkles, what proportion of this group likes chocolate?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.2} = 0.4[/tex]
0.4 = 40% of this group likes chocolate
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