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A couple has two children What is the probability that both are boys given that the first born is a boy?
The expected (but incorrect) answer to the question is 1/2.
It is not correct because:
- the probabilities of the gender of children in a family are not independent;
- the probability of a boy is not 1/2 but greater. For example, the global proportion of male births in 2012 was approx 52%.
What else can I help you with?
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 that a couples first child will be a female?
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 children's genders are independent events then, given that the probability of a girl is approx 0.48.
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 are the chances for acouple to have 2 girls and a boy if they have 3 children?
The chances of a couple having 2 girls and 1 boy among 3 children can be calculated using the probability of each combination. Assuming each child is equally likely to be a boy or a girl, the probability of having 2 girls and 1 boy is given by the binomial probability formula. There are three possible arrangements for 2 girls and 1 boy (GGB, GBG, BGG), making the probability approximately 3 out of 8, or 37.5%.
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 couple will have 4 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 4 boys and 1 girl out of 5 children is 0.1724 approx.
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 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.
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 couples first child will be a female?
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 children's genders are independent events then, given that the probability of a girl is approx 0.48.
Probability of having 3 girls out of 4 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 boy is approx 0.52, the probability of 3 girls out of 4 children is 0.2331
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 in this family the first child born is a boy and the last child born is a girl of four 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 boy is approx 0.5169, the probability of the event described is 0.5169*1*1*0.4831 = 0.2497
What are the chances for acouple to have 2 girls and a boy if they have 3 children?
The chances of a couple having 2 girls and 1 boy among 3 children can be calculated using the probability of each combination. Assuming each child is equally likely to be a boy or a girl, the probability of having 2 girls and 1 boy is given by the binomial probability formula. There are three possible arrangements for 2 girls and 1 boy (GGB, GBG, BGG), making the probability approximately 3 out of 8, or 37.5%.
Out of a standard 52 card deck what is the probability of drawing a heart given that a red card was drawn first?
This is a conditional probability, given the card is red, what is the chance it is a heart. Since there are 2 red hearts, the probability if 1/2
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.
What are the odds that they have at least one daughter and one son if a family have 2 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 boy is approx 0.52, the probability of a daughter and a son in two children is approx 0.4994
