What is the probability that a three child family has 2 boys?
If the family for instance already have 2 boys, the probability of the third child being a boy is a little more than 52\%.
What is the probability that they will have at least one girl?
There’s a 50\% chance that any given child is a girl, so take . 5 to the 4th power and subtract it from 1, which gives you a 93.75\% chance that at least one child is a girl. Let us assume that there are only two possibilities for a child- either a boy or a girl, and both are equally likely.
How many different three child families are possible if birth order is taken into account?
There are nothing different three-child families possible if birth order is taken into account.
What is the probability of at least one boy and at least one girl?
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 all three children being girls?
The probability of all three children being girls is the same as that as being all boys, 1 8. And so the probability of the children being all boys or all girls is: P (all boys or all girls) = 1 8 + 1 8 = 1 4
What is the probability of having no boys in each 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. This generalizes to 1 / 2 n in the nth generation. (Essentially I’ve drawn a probability tree diagram here, which generalizes to much more complicated problems).
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 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.