In a two child policy, what is the probability that they are both boys?

To find the probability that both children in a two-child policy are boys, we can assume that the probability of having a boy or a girl is equal (50% chance for each), unless otherwise specified.

Here are the possible outcomes for two children:

1. Boy and Boy (BB)
2. Boy and Girl (BG)
3. Girl and Boy (GB)
4. Girl and Girl (GG)

Each outcome has an equal probability of occurring, and there are 4 possible outcomes in total. 

Since only one of these outcomes involves both children being boys (BB), the probability is:

\[
P(\text{both boys}) = \frac{1}{4} = 0.25
\]

Thus, the probability that both children are boys is 0.25, or 25%.

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### Related questions:
1. What is the probability that both children are girls?
2. What is the probability that there is at least one boy?
3. How would the probabilities change if the chances of having a boy were higher?
4. What is the probability of having one boy and one girl?
5. How would the problem change if more children were allowed?

**Tip:** When calculating probabilities for multiple independent events, you multiply the individual probabilities of each event occurring.

Explore the probability that both children are boys under a two-child policy. With each child having a 50% chance of being a boy, this problem explains the key probability concepts and calculations behind determining the likelihood of both children being boys. Ideal for students in Grades 6-8.

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