Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys and girls are equally likely.


Answer :

The correct answer is 5/16.

The probability of having 2 girls and 3 boys in a 5-child family is 5/16

What is Probability ?

Probability is the likeliness of an event to happen .

Total Probability of having 5 kids as boy or girl is 2⁵ = 32

The probability that there is 3 boys in the 5 children and remaining two are girls

[tex]\rm ^5C_3[/tex]

= (5*4*3*2*1)/(2*1)(3.2.1)

= 10 ways

probability of having 2 girls and 3 boys in a 5-child family is

=10/32

= 5/16

Therefore ,  the probability of having 2 girls and 3 boys in a 5-child family is 5/16

To know more about Probability

https://brainly.com/question/11234923

#SPJ2