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Question

From the employees of a company, 5 persons are selected to represent them in the managing committee of the company. Particulars of five persons are as follows:

S. No.

Name

Sex

Age in years

1.

Harish

M

30

2.

Rohan

M

33

3.

Sheetal

F

46

4.

Alis

F

28

5.

Salim

M

41

A person is selected at random from this group to act as a spokesperson. What is the probability that the spokesperson will be either male or over 35 years?

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Solution

Let E be the event in which the spokesperson will be a male and F be the event in which the spokesperson will be over 35 years of age.

Accordingly, P(E) = and P(F) =

Since there is only one male who is over 35 years of age,

We know that

Thus, the probability that the spokesperson will either be a male or over 35 years of age is.


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