Question

100 employees of a company are asked how they get to work and whether they work fulltime or part time. The figure below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who.

A. part time or carpools, b. someone who cycles to work and is part time, c. someone who carpools d. drives alone or cycles to work

public transportation: 9 fulltime, 9 part time

bicycle: 3 full time, 4 part time

drive alone: 34 full time, 28 part time

carpool: 6 full time, 7 part time

Answer 1

a) P(part time or carpools) = P(part time) + P(carpools) - P(part time and carpools)

                                           = (9 + 4 + 28 + 7)/100 + (6+7)/100 - 7/100

                                           = 0.54

b) P(bicycle and part time) = P(bicycle) + P(part time) - P(bicycle and part time)

                                           = (3+4)/100 + (9 + 4 + 28 + 7)/100 - 4/100

                                           = 0.51

c) P(carpools) = (6+7)/100 = 0.13

d) P(drive alone or bicycle) = P(drive alone) + P(bicycle) - P(drive alone and bicycle)

                                            = (34 + 28)/100 + (3+4)/100 - 0

                                            = 0.69