A probability experiment is conducted in which the sample sp

A probability experiment is conducted in which the sample space of the experiment is S = {9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}. Let event E= {12, 13, 14, 15, 16, 17, 18, 19, 20}. Assume each outcome is equally likely. List the outcomes in E^c. Find P^c). The outcomes in E^c are { }. (Use a comma to separate answers as needed.) P(E^c = (Type an integer or a simplified fraction.)

Solution

E\' = { 9,10,11}, n(E)= 3

n(S) = {9,10,11,12,13,14,15,16,17,18,19,20} = 12

P(E\') = n(E)/n(S) = 3/12 = 1/4 = 0.25

[ANSWERS]

1. E\' = { 9,10,11}

2. P(E\') = 0.25