What is the probability that a family with 4 children has at least 1 boy?

What is the probability that a family with 4 children has at least 1 boy?

The probability of having at least one boy is the probability of any case except four girls = 1 – 1/16 = 15/16.

What is the probability of 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. That simplifies the things.

What is the probability of having 4 sons in a row?

A couple having 4 children of the same gender in a row happens actually more often than you might think. In fact, one in eight couples (12.5\%) with 4 children have 4 of the same sex.

What is the probability of having 2 or more girls?

If the probability of (1 OR 3 girls) equals .5, then the probability of 2 girls must be a different number. The probability of 2 or more girls, is the sum of the probability of 4 girls (.06125) (—-.5 to the 4th power—— ), plus the probability of 3 girls (.25)—— (the same as the probability of 1 boy)—- plus the probability of 2 girls.

How likely is a family of 4 children with one girl?

As a result a family of 4 children, with 1 girl is 4 times more likely than a family of four with no girls. We will ignore the slight imbalance of boys over girls at birth, and call it 50/50. There are 2^4, or 16 equally likely outcomes for a family of 4 children.

What are the odds of 1 or 3 girls?

Therefore the odds of 1 OR 3 girls must be .5 because 1 girl and 3 girls each has a .25 probability. If the probability of (1 OR 3 girls) equals .5, then the probability of 2 girls must be a different number. The probability of 2 or more girls, is the sum of the probability of 4 girls (.06125) (—-.5 to the 4th power—— ),

How many possible outcomes are there for 4 girls?

Some other writers have answered that there are only 5 outcomes, 0 – 4 girls, while that may be true, it is important to realize that those 5 outcomes are not equally likely. There is but one arrangement of 0 girls, but there are 4 arrangements of 1 girl and three boys.