Final answer:
The probability of a family with three children having two boys is 2/3.
The correct answer is option 3) 2/3.
Step-by-step explanation:
The probability of a family with three children having two boys can be determined using the concept of combinations.
In this case, we want to find the probability of having 2 boys and 1 girl out of 3 children.
The number of ways to have 2 boys and 1 girl is 3 (BBG, BGB, GBB), out of a total of 8 possible outcomes (2^3).
Therefore, the probability is 3/8.