The employees of AB co. Ltd. Have to elect one out of 5 persons to place them in a committee. Find out probability of selecting a representative that would be either male or over the age of 35. Details of the members are as follows:
Gender age
Male 40
Female 20
M 32
F 45
M 30
Answers
Given:
Elect 1 out of 5
Male aged 40
Female aged 20
Male aged 32
Female aged 45
Male aged 30
To find:
The probability of selecting a representative that would be either male or over the age of 35.
Solution:
There is only one male who above 35 years of age.
Hence,
The possible outcome = 1
To select 1 from use,
By using combinations,
We get,
Select 1 from 5 = 5x! / ( 5 - 1 )! * 1!
5 * 4 * 3 * 2 * 1 / 4! * 1!
Therefore,
Select 1 from 5 = 5
To find the probability,
Probability = Possible outcome / Select 1 from 5
1/5
Hence, The probability of selecting a representative that would be either male over the age of 35 is 1/5
"There is only one person whose age is > 35.
Possible Outcome(r)=1
One person from 5 so it can be done by 5C₁
C(n,r)=n! / (r!(n−r)!)
C(n,r)=C(5,1)
=5! / (1!(5−1)!)
= 5
∴Probability= Possible outcome/ 5C₁=1/5
∴The probability of selecting a representative that would be either male over the age of 35 is 1/5 "