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:

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?

Question

Philoid · Accepted Answer

Given Data

Total no. of person = 5

No. of spokesperson who are male = 3

No. of spokesperson who are 35 years of age = 2

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) = 3/5 and P(F) = 2/5

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

∴

We know that: P(E ∪ F) = P(E) + P(F) – P(E ∩ F)

⇒

∴ P(E ∪ F) = 4/5

Thus, the probability that the spokesperson will either be a male or over 35 years of age is 4/5.