Question

What is the theoretical probability of the event that a family with two children has one boy and one girl? Make a tree

diagram to help solve the problem.
a 1
4
b. 2
с 1
2
d. 3
Please select the best answer from the choices provided
OA
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Answer 1

The theoretical probability of a family having one boy and one girl can be determined using a tree diagram. The answer is 3 out of 4 or 0.75.

Step-by-step explanation:

The theoretical probability of the event that a family with two children has one boy and one girl can be determined using a tree diagram. The tree diagram will display all the possible outcomes of having two children, taking into account that each child can either be a boy (B) or a girl (G).

There are four possible outcomes: BB, BG, GB, and GG. Since we are interested in the outcome of having one boy and one girl, there are three favorable outcomes: BG, GB, and GG. Therefore, the theoretical probability is 3 out of 4, which can be written as 3/4 or 0.75.

So, the correct answer is option d. 3.

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