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A-Level Mathematics Question Analysis - Mathematics - Probability

A-Level Mathematics Question Analysis

June 9, 2023

A-Level Mathematics Question Analysis Topic: Mathematics - Probability

Exam Question:

In a family of 3 children, the probability of having at least one boy is..

Answer:

For A-Level Mathematics, you should know:

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.

Work hard for your A-Level Mathematics examination!

End of analysis. Great!