Let S = {a,b,c} be a sample space for an experiment. Suppose P{a}=1/2, P{b}=1/3, and P{c} = 1/6.

Question

Let S = {a,b,c} be a sample space for an experiment. Suppose P{a}=1/2, P{b}=1/3, and P{c} = 1/6.

list the events for the experiment. (Hint: you should find 8)
Calculate the probabilities for each of these events

Answer 1

Ø = 0

a = 1/2

b = /13

c = 1/6

a∩b = 1/6

a∩c = 1/12

b∩c = 1/18

a∩b∩c = 1/36

 

*assuming that these events are all independent.