Question

3.in a survey of 70 businessmen, it is found that 20 of them own only scooters, 10 own only bikes
and 15 own only cars, Five businessmen own all the 3 vehicles. Find the probability that a businessman selected at random possesses only 2 vehicles, If each businessman owns at least one of
the two vehicles
a) 3/7
b) 2/7
c) 1/7
d) 4/7​

Answer 1

Step-by-step explanation:

please mark as brain list

Answer 2

Given : in a survey of 70 businessmen,

20 of them own only scooters, 10 own only bikes and 15 own only cars, Five businessmen own all the 3 vehicles.

each businessman owns at least one of the three vehicles

To Find:  the probability that a businessman selected at random possesses only 2 vehicles

a) 3/7

b) 2/7

c) 1/7

d) 4/7​

Solution:

each businessman owns at least one of the three vehicles

Hence

70 = only scooter + only bikes + only cars + exactly 2 vehicles +  3 vehicles

=> 70 = 20 + 10 + 15 + exactly 2 vehicles + 5

=> 70 = 50 + exactly 2 vehicles

=> exactly 2 vehicles = 20

probability that a businessman selected at random possesses only 2 vehicles =  20/70

= 2/7

Hence 2/7 is the correct answer

option b is correct.

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