In a certain federal prison, it is known that 2/3 of the inmates are under 25 years of age. It is also known that 3/5 of the inmates are male and that 5/8 of the inmates are female or 25 years of age or older. What is the probability that a prisoner selected at random from this prison is female and at least 25 years old?

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davendarang davendarang

21-09-2022
Mathematics

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In a certain federal prison, it is known that 2/3 of the inmates are under 25 years of age. It is also known that 3/5 of the inmates are male and that 5/8 of the inmates are female or 25 years of age or older. What is the probability that a prisoner selected at random from this prison is female and at least 25 years old?

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shivishivangi1679 shivishivangi1679 · Answer 1 · 2022-09-23T08:49:34+02:00

The probability that a prisoner selected at random from this prison is female and at least 25 years old is 1/64

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

GIven that 2/3 of the inmates are under 25 years of age also, that 3/5 of the inmates are male and that 5/8 of the inmates are female or 25 years of age or older.

The number of mother inmates = 75% (100) = 75

The number of inmates, who are not mothers = 100 - 75 = 25

Selecting an inmate who is not a mother = 1/4

Selecting 3 female who are not mothers = 1/64

Therefore, the probability that a prisoner selected at random from this prison is female and at least 25 years old is 1/64

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