Question

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In a group of 120 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?

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Answer 1

Question :

In a group of 120 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?

Given :

• There are 120 people in a group

• Out of which 90 of them are having age more than 30

• And the rest below 20

Formula Used :

$\textsf{Probability of an event = } \dfrac{Favourable\;\: Outcomes}{Total\:\: Outcomes}$

Solution :

Number of people whose age is less than 20 is Total people in group - No of people who have age more than 30 = 120 - 90 = 30

$\textsf{Probability of an event = } \dfrac{Favourable\;\: Outcomes}{Total\:\: Outcomes}$

$=\dfrac{Persons\:\:age\:\:less\:\:than\:\:20}{Total\:\:number \:\:of\:\:people}\\\\\\=\dfrac{30}{120}\\\\\\=\dfrac{1}{4}\\\\\\=0.25$

Probability of getting a person whose age is less than 20 is 0.25

Answer :

Probability of getting a person whose age is less than 20 is 0.25

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