To the right are the outcomes that are possible when a couple has three children. Assume that boys and girls are equally likely, so that the eight simple events are equally likely. Find the probability that when a couple has three children, there is exactly 1 boy. 1st 2nd 3rd boy minus boy minus boy boy minus boy minus girl boy minus girl minus boy boy minus girl minus girl girl minus boy minus boy girl minus boy minus girl girl minus girl minus boy girl minus girl minus girl What is the probability of exactly 1 boy out of three children?

Question

Mathematics

Aryanna Holden

11 April, 11:05

To the right are the outcomes that are possible when a couple has three children. Assume that boys and girls are equally likely, so that the eight simple events are equally likely. Find the probability that when a couple has three children, there is exactly 1 boy. 1st 2nd 3rd boy minus boy minus boy boy minus boy minus girl boy minus girl minus boy boy minus girl minus girl girl minus boy minus boy girl minus boy minus girl girl minus girl minus boy girl minus girl minus girl What is the probability of exactly 1 boy out of three children?

+4

Answers (1)

Know the Answer?

Tyrone Richard · Answer 1

37.5% probability of exactly 1 boy out of three children

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The possible outcomes are:

b for boy, g for girl

b - b - b

b - b - g

b - g - b

b - g - g

g - b - b

g - b - g

g - g - b

g - g - g

There are 8 possible outcomes.

Exactly one boy:

b - g - g

g - b - g

g - g - b

3 outcomes

What is the probability of exactly 1 boy out of three children?

3/8 = 0.375

37.5% probability of exactly 1 boy out of three children