Respuesta :
Answer:
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
There is 37.5% probability of exactly 1 boy out of three children.
Given that,
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.
We have to find,
The probability that when a couple has three children, there is exactly 1 boy.
According to the question,
A probability is the number of desired outcomes divided by the number of total outcomes.
The possible outcomes are:
The b denote the boy,
And g denote the girl
Therefore,
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.
The probability that when a couple has three children, there is exactly 1 boy.
b - g - g
g - b - g
g - g - b
There are 3 outcomes for exactly 1 boy.
Therefore,
The probability of exactly 1 boy out of three children is given by,
[tex]= \dfrac{ 3 \ outcomes\ for \exacatly\ 1 \ boy}{total \ possible \ outcomes }\\\\= \dfrac{3}{8}\\\\= 0.375\\\\= 37.5\ percent[/tex]
Hence, There is 37.5% probability of exactly 1 boy out of three children.
To know more about Probability click the link given below.
https://brainly.com/question/16780291
