Mathematics

Problem

Two fair dice are thrown simultaneously. Let

A

be the event that the sum of the numbers obtained is

8

, and

B

be the event that the first die shows

4

. Decide whether

A

and

B

are independent. a)

A

and

B

are mutually exclusive

.

A

and

B

are not independent

.

A

and

B

are independent

.

d) Independence of

A

and

B

depends on the outcome of the second die only

.