A company surveyed its 140 employees and determined that 32commuted by car and 7

Question

A company surveyed its 140 employees and determined that 32commuted by car and 78 by train. Of these commuters, 15 used bothmodes of transportation. The remaining employees cycle or walk towork. What is the probability of each event? a)a randomly selected employee uses a car or a train. b)a randomly selected employee is a commuter c)a randomly selecterd employee uses neither a car nor atrain. the answers are a)80/140, b)95/140 and c) 45/140 what is the difference between quest. a and b? I calculatedquestion a) using P(A or B)=P(A)+P(B)-P(A and B). Why doesquestion a) have 15/140 taken off?  I don'tunderstand... A company surveyed its 140 employees and determined that 32commuted by car and 78 by train. Of these commuters, 15 used bothmodes of transportation. The remaining employees cycle or walk towork. What is the probability of each event? a)a randomly selected employee uses a car or a train. b)a randomly selected employee is a commuter c)a randomly selecterd employee uses neither a car nor atrain. the answers are a)80/140, b)95/140 and c) 45/140 what is the difference between quest. a and b? I calculatedquestion a) using P(A or B)=P(A)+P(B)-P(A and B). Why doesquestion a) have 15/140 taken off?  I don'tunderstand...

Explanation / Answer

the probability of
a)a randomly selected employee uses a car or a train.=95/140
b)a randomly selected employee is a commuter=95/140 c)a randomly selecterd employee uses neither a car nor atrain. =45/140

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