In a family of 3 children, find the probability of having at least one boy.
uelhonai3
Answered question
2023-03-07
In a family of 3 children, find the probability of having at least one boy.
Answer & Explanation
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.