Table of Contents
What is the probability that a three child family has at least one girl?
Originally Answered: In a family of 3 children, what is the probability of having at least one girl? Of these 7 have at least one girl in the mix. Thus the chance of having at least one girl is 7/8 = 87.5\%.
What is the probability of at least 1 boy and at least 1 girl given that there is at least 1 boy?
The probability of having at least one boy is the probability of any case except four girls = 1 – 1/16 = 15/16. The probability of having at least one boy and one girl is the probability of any case except either of the two extremes = 1 – 1/16 – 1/16 = 14/16.
What is the probability of having a boy after 3 girls?
If you already have a boy, the chance that the next baby is also a boy is 50 percent
| All same sex | ||
|---|---|---|
| 3 children | 25\% all girl or all boys | |
| 4 children | 12.5\% all girls or all boys | 50\% BB/GG |
| 5 children | 6.25\% all boys or all girls | 68.75\% GGG/BB or BBB/GG |
| 6 children | 3.125\% all boys or all girls | 46.875\%: GGGG/BB or BBBB/GG |
What is the probability that a family with two children will have two girls?
There are three equally probable family-types: BG , GB , and GG ( BB was removed from consideration, because they have no girls). Since only one of the three has two girls, our chances of having two girls are 1/3.
How common is it to have 3 daughters?
In 1976, four-in-ten moms in their early 40s had given birth to four or more children. But by 2016, the share had shrunk to just 15\%. The three-child family, by contrast, has held relatively constant: In both 1976 and 2016, roughly a quarter of mothers ages 40 to 44 had given birth to three children.
What are the odds of having 3 daughters?
With 3 children there are eight outcomes: SSS, SSD, SDS, SDD, DSS, DSD, DDS, DDD. Assuming daughters and sons are equally likely (which is not quite true, but is a reasonable approximation), the probability of having three daughters out of 3 children is 1/8.
What is the probability of having at least one boy?
At least means mor than or equal to 1. The total probability is 2 power 3 that is eight. All are girls the Probability is 1/8. So at least one boy means 1 minus 1/8 . That is 1-1/8=7/8. Originally Answered: In a Family of 3 children, What is the probability of having atleast 1 boy?
What is the probability that the family has 3 girls?
That means that the actual sample space has 7 equally likely possibilities, only one of which is 3 girls, so the probability that the family has 3 girls is 1 7. The online solution that you mention is either wrong or for a problem that differs in more than just changing girls to boys.
What are the odds of having a baby in each generation?
You can see that the chance of having at least one boy is 1 / 2 in the first generation, 3 / 4 in the second, and 7 / 8 in the third. This generalizes to ( 2 n − 1) / 2 n in the nth generation.
What are the odds of having a child in the nth generation?
You can see that the chance of having at least one boy is 1 / 2 in the first generation, 3 / 4 in the second, and 7 / 8 in the third. This generalizes to ( 2 n − 1) / 2 n in the nth generation. Conversely the chance of having no boys is 1 / 2 in the first generation, 1 / 4 in the second, and 1 / 8 in the third.
https://www.youtube.com/watch?v=yrdLQG3813k