There are 4 children in a family, Find the probability that there is atleast 1 boy if it is equally likely to have a boy or girl?
prob(at least 1 boy of 4 kids)
= 1 - prob(all girls)
= 1 - (1/2)^4
= 1 - 1/16
= 15/16
To find the probability of having at least one boy in a family of 4 children, we can use the concept of complementary probability. The complementary event of having at least one boy is having all girls.
Since each child has an equal probability of being a boy or a girl, the probability of having all girls is (1/2)^4, or 1/16.
Therefore, the probability of having at least one boy is equal to 1 minus the probability of having all girls. So, the probability of having at least one boy is 1 - 1/16 = 15/16.
Hence, the probability of having at least one boy in a family of 4 children is 15/16.