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MrMuchimi
3 years ago
7

A group of 10 students participate in chess club, karate club, or neither.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0

Answer: Option B

P(A|B)=0.50

Step-by-step explanation:

We look for the conditional probability of A given B.

This is written as:

P(A|B) = \frac{P(A\ and\ B)}{P(B)}

First we must find the probability of A and B

There are 10 students in total. Note that of those 10 students only 2 of them are at the same time in the karate club and in the chess club

Therefore:

P(A\ and\ B)=\frac{2}{10}

There are 10 students in total. Note that of those 10 students only 4 of them are in the chess club

Then:

P(B)=\frac{4}{10}

Finally:

P(A|B) = \frac{P(0.2)}{0.4}=0.50

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