0
What is the probability that a family of 4 would have exactly 2 girls and 2 boys?
Wiki User
∙ 15y ago
For the sake of ease, I'm going to assume that you mean: if a family were to have four children, what is the probability of having two girls and two boys. (Note: if you actually mean a family of four, you would have to start building in the probability of single-parenthood and same-sex adoption since the parents would be included in the total family size.) One could do this problem the long way by writing out all combinations of children and identifying which one meets the criteria given in the problem and which ones do not. All Possible Combos of 4 Children GGGG BGGG GBGG GGBG GGGB BBGG BGBG BGGB GBGB GBBG GGBB GBBB BGBB BBGB BBBG BBBB Each set that matches our criteria are in bold. There are 6 "successful" pairings, out of a total of 16 possible combinations. Thus the probability is 6/16 or .375 or 37.5% that there will be two girls and two boys. That is a long way of doing this problem however and would not be as quick if we had asked about 10 children instead of only 4. Instead it is easier to think of this problem as the probability of one possible combination being correct then multiplying it by all the possible ways of writing it. You can take any possible combination of B and G as long as there are 2 Bs and 2 Gs. For this problem lets use: BBGG. The probability of this exact combination occurring is 1/16: (1/2) * (1/2) * (1/2) * (1/2) = 1/16 Remember that the probability of a certain series of independent events is equal to the each probability multiplied together. Now we must figure out all the possible ways of writing BBGG. In this case there are 6. So now 6 * (1/6) = 6/16 or 3/8 or .375 or 37.5%
Wiki User
∙ 15y ago
Add your answer:
Earn +20 pts
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 a girl is chosen if 15 students are girls and 10 students are boys?
The ratio of girls to total students is 15:25, or 3:5. Three out of five students are girls so there would be a 60% probability that a girl would be chosen; a 2 out of 5 chance, or 40% probability that a boy would be chosen.
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.
How many different 5 cards hands would contain exactly one ace?
The probability is 0.0599
What is the probability that a family with 4 children would have at least 1 boy?
1/4
What is the probability that no girls?
We would need to know the number of children in the family to answer this question. For instance, the probability of having no girls in a family of two children would be 1/4 theoretically. In general it is 2-n where n is the number of children.
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 that a family of 4 would have a girl first and a girl last?
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. A family of 4 is a family of two parents and two children. The probability that both children are girls is 0.2334
What is the probability a girl is chosen if 15 students are girls and 10 students are boys?
The ratio of girls to total students is 15:25, or 3:5. Three out of five students are girls so there would be a 60% probability that a girl would be chosen; a 2 out of 5 chance, or 40% probability that a boy would be chosen.
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.
When a family of seven boys and no girls is expecting an eighth child what is the probability of the next child being a girl?
If the gender of a child were an independent variable then the genders of the existing children would be irrelevant and so the probability of the next child being a girl would be approximately 1/2.It would be approximately 1/2 because the overall proportion is not exactly half. However, and more important, is the fact that the gender of a child is affected by the parents' genes and so is not independent of the gender of previous children.
How many different 5 cards hands would contain exactly one ace?
The probability is 0.0599
What is the probability of a woman giving birth to 6 daughters in a row?
Theoretically we might imagine that the probability that a woman would give birth to a daughter would be 1/2. With this assumption then the probability would be 1/2 x 1/2 x 1/2 x 1/2 x 1/2 x 1/2 = (1/2)6 = 1/26 = 1/64However, there are other considerations:The ratio of boys to girls at birth varies by country. (The most boys to girls occurs in-wait for it-Liechtenstein.) This means that the probability of giving birth to six girls in a row in some country would be less, in others maybe more.If a women gave birth to three girls in a row then you would have some grounds for suspecting that there could be something about her and her partner that favours the conceptions of girls. If this were true then the probability of there being six girls in a row would be much higher.
What is the probability that a family with 4 children would have at least 1 boy?
1/4
When a survey indicated that 65 of the family in a town own cars. find the probability that among 7 families selected at random in the town exactly 5 of them own cars?
It is necessary to have an estimate of the proportion of families in the town which own cars. Since the number of families which do own a car is given, it is necessary to know the total number of families in the town. Without the total number of families, it is not possible to estimate the car-owning proportion and therefore impossible to make any estimate about the answer.If, for example, if there were only 65 families this would imply that every family owned a car and, therefore, the probability of exactly 5 out of 7 random families owning a car would be 0. If there were 67 families, the probability would be approx 0.17 while if there were 270 or more families, the probability is zero.
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 would be the probability that a couple would have 4 sons in succession in a row?
It is not possible to give a proper answer to the question for two main reasons. The first reason is that the probability of boys and girls are not equal. The global probability, at birth is 0.517 for boys and 0.483 for girls. Second, the children's genders are not independent events. Third, the gender ratios change with the parents' (mother's) age. If you choose to ignore all these facts, then the probability is (1/2)4 = 1/16
