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The probability of a boy is still 0.5 no matter how many prior children there are.

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Q: What is the probability of a family having a boy after four girls?
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What is the probability that in a family of four children that all four children are girls?

The probably of four girls in a family with four children is 1/16. I got this answer because: Probability of a girl is 1/2 and to get all girls you would multiply it by 1/2 for the rest of the girls.


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 couple having at least four girls if they have six children?

3 out of 7


In a family of four children what is the probability of having exactly two daughters assuming sons and daughters are equally likely?

50-50


What is the chance of having a family of three girls and four boys using binomial sampling?

In a world in which every family has seven children (quite unlikely!) the probability would be 35/128 = 0.273. However in the world that we live in, families with 7 children are very rare and so the answer would be 0.273 of that very rare proportion.


What is the probability that a family of four children has at least 1 boy?

1 in 2


What is the probability of flipping 2 coins and having both show heads?

If both tosses are fair, the probability of that outcome is one in four.


What is the probability that a couple would have a family of four children two boys and two girls and in that order?

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 in all cases, the overall probability is 0.0624.


What is the probability of randomly selecting a four-child family with exactly two boy children?

2/4


What is the probability that a family with four children has all girls?

It is difficult to answer this question properly. One reason is that children's genders are not independent of one another: the gender depends on the parents' genetics and their age. The second reason is that the probability of a girl is not 0.50 but approx 0.48. However, if you ignore reality, then the answer is (1/2)4 = 1/16


Four children that is probality at least two are girls?

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 girl is approx 0.48, the probability of 2 or more girls is 0.6617.


What is the probability that a family of four children has at least 2 girls?

Going by the assumption that the probability of a child being a girl is 1/2, and that the events are independent, then the probabilities of different numbers of girls are as follows: P(0 girls) = 1/2 ^ 4 = 1/16 P(1 girl) = 4 * (1/2) * (1/2 ^ 3) = 1/4 P(2 girls) = 6 * (1/2 ^ 2) * (1/2 ^ 2) = 3/8 P(3 girls) = 4 * (1/2 ^ 3) * (1/2) = 1/4 P(4 girls) = 1/2 ^ 4 = 1/16 Therefore the probability of at least 2 girls = 3/8 + 1/4 + 1/16 = 11/16