A pair of fair dice is cast. Let E denote the event that the number landing uppermost on the first die is a 6 and let F denote the event that the sum of the numbers falling uppermost is 12. Determine whether E and F are independent events.
A) dependent
B) independent

Question

A pair of fair dice is cast. Let E denote the event that the number landing uppermost on the first die is a 6 and let F denote the event that the sum of the numbers falling uppermost is 12. Determine whether E and F are independent events. 
A) dependent
B) independent

Quizplus · Accepted Answer

E and F are dependent events. If E occurs, then the maximum value possible for F is 6+6=12. So, P(F|E)≠P(F), which shows that E and F are not independent events.

A Pair of Fair Dice Is Cast