You roll a die with the sample space S = {1, 2, 3, 4, 5, 6}. You define A as {1 ,4, 6}, B as {1, 3, 4, 5, 6}, C as {1, 5}, and D as {2, 3, 5) 5}. Determine which of the following events are exhaustive and/or mutually exclusive Exhaustive Mutually exclusive
a. A and B (Click to select) (Click to select)
b. A and C Click to select) (Click to select)
c. A and D (Click to select) (Click to select)
d. Band C (click to select) (click to select)

Step-by-step explanation:

Recall that two events A,B are called mutually exclusive if and only if (their intersection is empty). They are exhaustive if they are mutually exclusive and their union is the sample space.

Based on this

a) Note that , so they are not mutually exclusive nor exhaustive.

b) so they are not mutually exclusive nor exhaustive.

c) , so they are mutually exclusive. Note that . Then they are exhaustive.

d) , so they are not mutually exclusive nor exhaustive.

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175