A-Level Mathematics Question Analysis Topic: Mathematics - Probability
In a family of 3 children, the probability of having at least one boy is..
Given: There are three children in the family.
As such, the total number of outcomes is 23 = 8.
Number of favourable cases:
A favourable case means at least one of the children in the family is a boy.
In other words, the eight possible combinations are:
BBB, BBG, BGB, BGG, GBB, GBG, GGB and GGG.
Looking at the above combination, we know that the probability of having at least one boy is 7/8.
End of analysis. Great!