A family with 5 children is selected at random.What is the probability that the family has at
least 3 boys?
Hello, Jhonson!
Here's an "eyeball" solution . . .A family with 5 children is selected at random.
What is the probability that the family has at least 3 boys?
Of all the possible combinations of gender among five children,
. . exactly HALF of them have more boys than girls.
. . (And the other half has more girls than boys.)
Therefore: .
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A more "mathematical" solution . . .
There are: . possible sets of gender.
How many have 3 boys and 2 girls?. .
How many have 4 boys and 1 girl?. .
How many have 5 boys?. .
Hence, there are: . cases with 3 or more boys.
Therefore: .