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:
There are total 5 persons.
Let A is the event that spokesperson is a male
B is the event that spokesperson is over 35 years.
Now
probability that spokesperson is a male = P(A) 3/5
probability that spokesperson is over 35 years = P(B) = 2/5
probability that spokesperson is over 35 years and male = P(A∩B) = 1/5
probability that spokesperson is over 35 years or male = P(AUB) = P(A) + P(B) - P(A∩B)
= 3/5 + 2/5 - 1/5
= (3+2-1)/5
= 4/5
So probability that spokesperson is over 35 years or male is 4/5
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