What is the probability that a family has 2 boys and 2 girls?

What is the probability that a family has 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.

How many outcomes is are possible to have at least 2 boys in a family of three children?

There are 8 possible outcomes, all equally likely (if we assume each gender is equally likely). Hence the choice is 3/8. We can also think about it in at least one more way: You identified all the possible ways to get 2 boys and one girl.

How do you find the probability of a random selection?

For example, if you were to pick 3 items at random, multiply 0.76 by itself 3 times: 0.76 x 0.76 x 0.76 = . 4389 (rounded to 4 decimal places). That’s how to find the probability of a random event!

What is the probability of a family of 3 children having at least 1 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 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.

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.

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).

What are the odds of having a boy with 5 siblings?

50/50. The likelihood of a child being either biologically male or female at birth still remains 50/50 regardless of all the other siblings. If a family as 5 girls, it’s still 50/50 whether the next one will be a boy or girl. There’s about a 2\% chance that any given human baby will be intersex, so add that into the calculation.