Leisure activity. A survey had been conducted for a group of people to identify their favorite leisure activity.

Each person is provided with four options. The following records the rate of choices made by the group. Are each of the following probability of choices possible? Why?

Probabilities of …
Bicycling Hiking Jogging Reading

a) 0.1 0.3 0.2 0.4

b) 0.25 0.25 -0.25 0.25

c) 0.2 0.15 0.35 0.05

d) 0 1 0 0

e) 0.5 0.25 0 0.25