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?

Answer 1

Let Abe the event in which spokesperson will be male and Bbe the event in which the spokesperson will be over 35years of age.

Given,

P( A )= 3 5 P( B )= 2 5

There is only one person that has age over 35years. So.

P( A∩B )= 1 5

The probability can be calculated as,

P( A∪B )=P( A )+P( B )−P( A∩B ) = 3 5 + 2 5 −( 1 5 ) = 4 5

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