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Out of 1000 families of 3 children each, how many families would you expect to have two boys and one girl assuming that boys and girls are equal likely?

User Gil Perez
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1 Answer

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Approximately 125 families out of 1,000 to have exactly 2 boys and 1 girl.

How to solve

Probability of one child being a boy: 50%

Probability of another child being a boy: 50% (independent event)

Probability of the third child being a girl: 50% (independent event)

Probability of having 2 boys and 1 girl: Multiplying individual probabilities: 0.5 * 0.5 * 0.5 = 0.125 (12.5%)

Therefore, based on this sample set and probability calculation, we would expect approximately 125 families out of 1,000 to have exactly 2 boys and 1 girl.

The Complete Question
Out of 1,000 families, each with 3 children, and assuming boys and girls are equally likely for each child, how many families would you expect to have exactly 2 boys and 1 girl?

Set Data:

Imagine simulating 1,000 families with 3 children each, flipping a coin (heads = boy, tails = girl) for each child's gender. This would be a simplified representation of random chance determining the gender of each child.

User Cisum Inas
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