Answer:
If 3 female prison inmates are selected at random, the probability that none
are mothers = [tex]\frac{1}{64}[/tex]
Step-by-step explanation:
Let the total number of prison inmates be 100
Given that Seventy-five percent of female prison inmates are mothers.
The number of mother inmates = 75% (100) = 75
The number of inmates who are not mothers = 100 - 75 = 25
3 female prison inmates are selected at random. The probability that none are mothers = ??
Selecting an inmate who is not a mother = [tex]\frac{25}{100}[/tex] = [tex]\frac{1}{4}[/tex]
Selecting 3 female who are not mothers = [tex](\frac{1}{4} ) (\frac{1}{4} ) (\frac{1}{4} )[/tex] = [tex]\frac{1}{64}[/tex]
