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There are two problems in answering this question. The gender of children are not independent events and also, the probability of a boy is not half as is often assumed but nearer to 52% and it varies over time and between countries.

However, if you assume that the genders are independent and that the probability of either gender is 0.5 then the answer is 0.875

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6y ago
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6y ago

Doesn't matter how many children they have - each time you have a child you have a 50:50 chance of either a girl or a boy.

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6y ago

You can calculate the probability that NONE of them is a boy - that's 1/2 x 1/2 x 1/2. The complement of that is the answer to your question - so 1 - 1/8 = 7/8.

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Q: What is a probability that when a couple has three children at least one of them is a boy?
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What is the probability that a couple with three children will have at least one girl?

The individual probability that a child born will be female is 50% or 0.5.Using this we can calculate the probability that at least one of the children will be female by:calculating the probability that none of the children will be female and then subtracting this from 1.The probability that all the children are male is therefore 0.53 = 0.5 * 0.5 * 0.5 = 0.125.Thus the answer is 1 - 0.125 = 0.875 = 87.5%


What is the probability that a couple with 3 children will have at least 1 girl?

The easiest way of calculating this is to find the probability that all three are boys, as this is the only arrangement that does not fit the criteria. Then work out the answer by taking this away from 1. Probability that all three are boys = 1/2 x 1/2 x 1/2 = 1/8. probability of there being at least one girl is 1 - 1/8 = 7/8 or 87.5%


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


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 a family with six children having three boys and three girls?

50/50

Related questions

What is the probability that a couple with three children will have at least one girl?

The individual probability that a child born will be female is 50% or 0.5.Using this we can calculate the probability that at least one of the children will be female by:calculating the probability that none of the children will be female and then subtracting this from 1.The probability that all the children are male is therefore 0.53 = 0.5 * 0.5 * 0.5 = 0.125.Thus the answer is 1 - 0.125 = 0.875 = 87.5%


What is the probability that a couple with 3 children will have at least 1 girl?

The easiest way of calculating this is to find the probability that all three are boys, as this is the only arrangement that does not fit the criteria. Then work out the answer by taking this away from 1. Probability that all three are boys = 1/2 x 1/2 x 1/2 = 1/8. probability of there being at least one girl is 1 - 1/8 = 7/8 or 87.5%


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


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


What is the probability that a coulple with three children will have three 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 that all three children are boys is approx 0.1381


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 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 a family with six children having three boys and three girls?

50/50


If a family has three children find the probability that two of the children are girls?

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


What is the probability of rolling an even number with 3 dice?

With one roll of three dice, the probability is 7/8.


What is the probability that you get three tails given that you get at least two tails if ou flip three coins?

1/4


What is the probability that three F2 seed chosen at random will include at least one yellow seed?

The probability that three F2 seeds chosen from Mendel's study group will have at least one yellow seed is 63/64. It would be very rare to get three green seeds.