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

uelhonai3

uelhonai3

Answered question

2023-03-07

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

Answer & Explanation

Dreardduraml

Dreardduraml

Beginner2023-03-08Added 2 answers

Every child has a 50% chance of being a boy.

Every child has a 50% chance of becoming a girl.
The probability of no. boys = 1/2 × 1/2 × 1/2 = 1/8
The probability of at least 1 boy = 1 - the probability of no boys.
= 1 - 1/8 = 7/8
or
The quantity of possibilities is displayed below.
Probability of 0 boys = 1/8

Probability of 1 boy = 3 × 1/8 = 3/8

Probability of 2 boys = 3 × 1/8 = 3/8

Probability of 3 boys = 1/8
The probability of at least 1 boy is equal to the probability of 1 or 2 or 3
boys which = 3/8 + 3/8 + 1/8 = 7/8.

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