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?

Solution:

The total number of males = 3 and the total number of females = 2.

Let A be the event in which the spokesperson will be a male.

Then, P (A) = 3/5.

B be the event in which the spokesperson will be over 35 years of age.

Then, P (B) = 2/5.

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

Therefore, P (A ∩ B) = 1/5

Using P (A υ B) formula,

P (A υ B) = P (A) + P (B) - P (A ∩ B)

= 3/5 + 2/5 - 1/5

= 4/5

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

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NCERT Solutions Class 11 Maths Chapter 16 Exercise ME Question 8

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?

Summary:

The probability that the spokesperson will be either male or over 35 years is 4/5