A survey of 28 teens in a community theater group found that 12 teenagers, in total, had a sister, 7 teenagers, in total, had a brother, and 3 teenagers had both a sister and brother. What is the probability that a randomly selected teenager who has a sister also has a brother? 14 37 328 728


Answer:

Answer is \frac{1}{4}.

Step-by-step explanation:

Total teens = 28

12 teenagers, in total, had a sister

7 teenagers, in total, had a brother

3 teenagers had both a sister and brother.

To get the required probability, we will consider the following two details:

3 teenagers have both a brother and sister  and 12 have a sister.

Therefore, the probability that a randomly selected teenager who has a sister also has a brother will be = \frac{3}{12}=\frac{1}{4}

Answer is \frac{1}{4}.


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