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there is a 50% chance that two of them will be girls

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Q: If a family has three children find the probability that two of the children are girls?
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What is the probability of a family with six children having three boys and three girls?

50/50


What is the probability of exactly 3 girls out of three children?

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 three out of three being girls is 0.1127.


What is the probability of randomly selecting a three-children family with exactly two girs?

It is 3/8.


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

2/6 is not accurate. using a theoretical method for equally likely outcomes, there are 2 possible outcomes for each birth: either a boy(B), or a girl (G). For a family of three children, the total number of possibilities (birth orders) is 2*2*2=8 to double check this work, here are the eight possible outcomes:BBB, BBG, BGG, GBB, GBG, GGB, and GGG. You want EXACTLY two girls, this assumes that the other must be a boy. Therefore, the probability that a three child family has 2 girls one boy is P(2 girls)=3/8=0.375


If a couple has three daughters what is the probability that the next child is a son if they already have three daughters?

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.If you believe that the children's genders are not independent then you would need to get empirical evidence from all families with four or more children in which the first three children were girls. If there are g families in which the fourth is a girl and b where the fourth is a boy then the required probability is b/(g+b).However, if you assume that the children's genders are independent events then, given that the probability of a boy is approx 0.52, the probability of the fourth child is a boy is 0.52

Related questions

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

50/50


What is the probability of exactly 3 girls out of three children?

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 three out of three being girls is 0.1127.


What is the probability to have 2 girls and a boy in a family?

The 8 possible outcomes for three children are: * ggg * ggb * gbg * gbb * bgg * bgb * bbg * bbb Of these, two girls and a boy occurs 3 out of 8 times, which is a probability of 0.375. This assumes that the probability of a boy and girl being in the family is equal, which is not entirely true for a large number of reasons.


What is the probability of randomly selecting a three-children family with exactly two girs?

It is 3/8.


What is the probability that a family continue to have children until they have a boy will have more than three children?

The answer to this is 1 minus the probability that they will have 3 or fewer children. This would happen only if they had a boy as the first, second or third child. The probability they have a boy as first child is 0.5 The probability they have a boy as second is 0.25 The probability they have a boy as third is 0.125 Thus the total probability is 0.875 And so the probability they will have more than three children is 1-0.875 or 0.125


What is the probability of having three girls and zero boys?

Assuming that having boys and girls are equally likely, then the probability is 1/8. * * * * * You also need to assume that the children's genders are independent. They are NOT and depend on the parents' ages and genes.


What is the probability that a random couple with three children will have all girls?

Assuming that children of either gender are equally likely, the answer is (1/2)3 = 1/8


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

2/6 is not accurate. using a theoretical method for equally likely outcomes, there are 2 possible outcomes for each birth: either a boy(B), or a girl (G). For a family of three children, the total number of possibilities (birth orders) is 2*2*2=8 to double check this work, here are the eight possible outcomes:BBB, BBG, BGG, GBB, GBG, GGB, and GGG. You want EXACTLY two girls, this assumes that the other must be a boy. Therefore, the probability that a three child family has 2 girls one boy is P(2 girls)=3/8=0.375


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 of having three girls in a row?

you have a 75% chance


If a couple has three daughters what is the probability that the next child is a son if they already have three daughters?

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.If you believe that the children's genders are not independent then you would need to get empirical evidence from all families with four or more children in which the first three children were girls. If there are g families in which the fourth is a girl and b where the fourth is a boy then the required probability is b/(g+b).However, if you assume that the children's genders are independent events then, given that the probability of a boy is approx 0.52, the probability of the fourth child is a boy is 0.52


The king comes from a family of three children What is the probability that he has a brother?

The probability of a boy (male) is equal to the probability of a girl (female) which equals 1/2. The king is a male. So, we need the probability of a male and a male which is 1/2 * 1/2 = 1/4.