Question

If a couple plans to have 9 ​children, what is the probability that there will be at least one boy​? Assume boys and girls are equally likely. Is that probability high enough for the couple to be very confident that they will get at least one boy in 9 ​children?

Answer 1

It is a 9/10 chance of having at least one boy. The probability is also high enough for the couple to be very confident in having at least one boy in 9 children.

Explanation:

I listed all of the possible combinations below

GGGGGGGGG BGGGGGGGG

BBGGGGGGG BBBGGGGGG

BBBBGGGGG BBBBBGGGG

BBBBBBGGG BBBBBBBGG

BBBBBBBBG BBBBBBBBB

Total number of combinations with at least one boy is 9/10

This is a very high percentage, which means the couple is very likely to have at least one boy.