The employees of AB Co. Ltd. have to elect one out of 5 persons to place them in a committee. Find the probability of selecting a representative that would be either male over the age of 35. Details of the members are as follows:
Gender Age
Male 40
Female 20
M. 32
F. 45
M. 30
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Solution:
As per the given data, there is only one male person above 35 years.
Hence the possible outcomes =1
We need to select one person from 5 so it can be done by 5c₁
5c1=5x! /(5-1)!x1!
=5x4x3x2x1/4! x 1!
=5X 4!/4! x 1
=5
∴Probability= Possible outcome/ 5c1
= 1/5c₁
=1/5
∴The probability of selecting a representative that would be either male over the age of 35 is 1/5
As per the given data, there is only one male person above 35 years.
Hence the possible outcomes =1
We need to select one person from 5 so it can be done by 5c₁
5c1=5x! /(5-1)!x1!
=5x4x3x2x1/4! x 1!
=5X 4!/4! x 1
=5
∴Probability= Possible outcome/ 5c1
= 1/5c₁
=1/5
∴The probability of selecting a representative that would be either male over the age of 35 is 1/5
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