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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.NoNameSexAge in years
1HarishM30
2RohanM33
3SheetalF46
4AlisF28
5SalimM41
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)=35 and P(F)=25 Also P(EF)=15
We know that P(EF)=P(E)+P(F)P(EF)
P(EF)=35+2515=45
Thus the probability that the spokesperson will either be a male or over 35 years of age is 45

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