Answer: 1/2
Explanation: To solve this problem, let's use a simulation.
A simulation is a method of solving a problem by conducting an experiment that's similar to the situation described in the problem.
In this problem, we know a mother and a father have 3 daughters and we will use a simulation to find the probability
that their next child will be a boy.
It's important to understand that there is
more than one simulation that would work.
One possible simulation would be to toss a two-sided coin.
There are two possible outcomes for the child, girl and boy.
So we can let heads represent girl and tails represent boy.
We would then toss the coin a number of times and record the number of times we got tails and the number of times we got heads.
The probability of getting tails would be the number of times that we tossed tails over the total number of times that we tossed the coin.
The probability of getting tails will be the same as the probability that the child is a boy. The more trials that we conduct, the closer our probability will be to theoretical probability.
Since there are two possible outcomes on a two-sided coin, getting a heads or tails, and it's equally likely that the coin will land on either side, the probability of their next child being a boy is 1/2.