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?


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.


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