Table of Contents
- 1 What is the probability of exactly 2 boys?
- 2 What is the probability of exactly 1 boy out of 4 children?
- 3 What is the probability that a 4 child family will contain exactly 2 boys and 2 girls?
- 4 What is the probability the couple will have 4 girls?
- 5 What is the probability of having a boy after a girl?
- 6 What is the probability of having at least one child?
What is the probability of exactly 2 boys?
13/27
The number of families with a boy born on a Monday is 7 + 7 + 1 + 6 + 6 = 27. Of these, 13 have two boys, so the probability of having two boys is 13/27, which is about 48 per cent.
What is the probability of exactly 1 boy out of 4 children?
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 that a 4 child family will contain exactly 2 boys and 2 girls?
There are 4C2 ways to have exactly 2 boys & 2 girls, in any order, so this gives 6/16 =3/8 as the correct probability. if you have 4 children these are the possibilities…
What is the probability of a boy or girl?
My general response is that it’s a 50/50 chance that a woman will have a boy or a girl. But that’s not exactly true – there’s actually a slight bias toward male births. The ratio of male to female births, called the sex ratio, is about 105 to 100, according to the World Health Organization (WHO).
What is the probability of having 4 children?
Each child has a probability of being a girl is 1/2. If there are 4 children in the family, the probability of all the four being girls is (1/2)^4=1/16.
What is the probability the couple will have 4 girls?
The probability of a woman giving birth to four girls in a row is 1/16.
What is the probability of having a boy after a girl?
After a first boy we need one of each (50\%). After a first girl we must have only boys (25\%). So the probability is .5 ∗ 1 2 + .25 ∗ 1 2 = .375 which is also equal to 3 8. In case this is causing confusion, combinations don’t depend on order.
What is the probability of having at least one child?
To have at least one child of each sex, we need to subtract out from the 8 ways the genders can be the 2 that are single sex (i.e. all boys and all girls). So we get: Roy Ø. It is customary to say that the probability of getting a boy is 1 2.
What is the probability of a family with two girls?
In a family with 2 children there are four possibilities: Since we are given that at least one child is a girl there are three possibilities: bg, gb, or gg. Out of those three possibilities the only one with two girls is gg. Hence the probability is 1 3.
How many possible combinations of 2 boys and a girl?
As we have seen from the other answers, there are 3 permutations out of 8 which contain 2 boys and a girl. But what if we looked at the combinations instead? The combinations of 2 genders among 3 children are: 2 girls, 1 boy can be rearranged, and the boy can have 3 positions (youngest, middle or oldest).