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There are two main problems in answering this question. One is that the probability of a boy is 0.52 not 0.50. This is easily dealt with: use a Binomial(5, 0.52) distribution rather than Binomial(5, 0.5). However, the other probalem is much more serious: the genders of children in a family are not independent events: they depend on the parents genes as well as their age.

The question can only be answered if you ignore reality. Then, the probability is 0.1563 (approx).

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Q: What is the probability that a family of 5 children has exactly 1 boys?
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What is the probability that a family of 5 children has exactly 3 boys?

6 out of 9.


What is the probability of a 13 child family having 13 boys?

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes. However, if you assume that they are independent events then, given that the probability of a boy is approx 0.52, the probability of 13 boys in a family with 13 children is approx 0.00019.


What is the probability that a family with four children has all boys given that the first two are boys?

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes. However, if you assume that they are independent events then, given that the probability of a boy is approx 0.52, the probability of the other two being boys is 0.2672.


What is the probability for family to born 2 boys and a girl?

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes.However, if you assume that they are independent events then, given that the probability of a boy is approx 0.52, the probability of the other two being boys is 0.4994


What is the probability that a family of 4 would have 3 boys and 1 girl?

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes.However, if you assume that they are independent events then, given that the probability of a boy is approx 0.52, the probability of three boys and a girl is 0.2669.

Related questions

What is the probability that a family of 5 children has exactly 3 boys?

6 out of 9.


What is the experimental probability that exactly 3 children in a family of 4 children will be boys?

4/16 or 0.2 or 25%


What is the probability of 4 boys in a family with 4 children?

In a family with four children, the probability of having four boys is 1 in 16.


What is the probability of a family with six children having three boys and three girls?

50/50


What is the probability that a family of 2 children has exactly 2 boys?

Probability equals the number of ways an event can occur divided by the total number of events. The total number of events is (b=boy, g=girl) is bb, bg, gb, gg. The probability is then 1/4.


What is the probability of a 13 child family having 13 boys?

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes. However, if you assume that they are independent events then, given that the probability of a boy is approx 0.52, the probability of 13 boys in a family with 13 children is approx 0.00019.


What is the probability that a family with four children has all boys given that the first two are boys?

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes. However, if you assume that they are independent events then, given that the probability of a boy is approx 0.52, the probability of the other two being boys is 0.2672.


At least one child in a family with two children is a boy the the probability that both children are boys?

There is no simple answer.First of all, the probability of boys is 0.517 not0.5.Second, the probabilities are not independent.If you choose to ignore these important facts, then the answer is 2/3.


What is the probability that a family with 13 children will only have 3 boys?

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes. However, if you assume that they are independent events then, given that the probability of a boy is approx 0.52, the probability of 3 boys out of 13 is 0.0273.


The probability that a family with 3 children has 3 girls assuming that having boys and girls are equally likely?

50%


What is the probability that a family with 4 children has at least 2 girls?

Assuming that boys and girls are equally likely, it is 11/16.


What is the probability of having exactly 2 boys out of 6 children?

The answer depends on whether the children are picked at random. If they were selected from inside a girls' school the probability should be quite close to 0. Likewise, if the children were picked inside a boys' school. If six children are picked at random from a large group of children with an equal number of boys and girls, then the answer is 6C2*(1/2)6 = 15/32 = 0.47, approx.