What is the probability of having 3 children that are all boys?

What is the probability of having 3 children that are all boys?

Long answer: The chances of having three boys are 1/8. If you learn about only one gender, it must be “boy” so the chances of having three boys, AND knowing about a boy, are also 1/8. The chances of having two boys and a girl are 3/8.

What is the probability of having at least one girl out of 3 children?

Out of the four cases, 3 have at least one girl, so it is 34. Complementary counting also works. The probability of no girls (all boys) is (12)2=14. The probability of at least one girl is 1−14=34.

How many outcomes have the same gender for all 3 children?

There are 8 possible outcomes, all equally likely (if we assume each gender is equally likely).

What are the odds of having 4 daughters in a row?

The probability of a woman giving birth to four girls in a row is 1/16.

What are the chances of having 3 daughters in a row?

There is hence a 1 in 2 chance (50\% or 0,5 probability) of either a boy or a girl on each occasion. Therefore, by the multiplication principle, the probability of having 3 girls in a row is 12×12×12=18 .

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

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).

How many different ways can you have a baby?

We know too that of those 8 ways, 2 are for where all three children are the same gender, leaving 6 ways. Of those 6 ways, half will be for having 2 boys and 1 girl and the other half will be for having 2 girls and 1 boy.

Do the permutations ask for the number of boys and girls?

Or in this case, we are asking for the number of boys and girls, rather than the order that they appeared. The Permutations do consider order, so that would be more like a code for a safe that must be done in order, or the letters in a password, or in this case the sequence of genders where BGB would be a different sequence to GBB.