Two dice (one red and one green) are rolled, and the numbers that face up are observed. Test the pair of events for independence.
A: Neither die is 4; B: Exactly one die is 3.

A)A and B are independent
B) A and B are dependent

Question

Two dice (one red and one green) are rolled, and the numbers that face up are observed. Test the pair of events for independence. ​
A: Neither die is 4; B: Exactly one die is 3.
​
A)A and B are independent
B) A and B are dependent

Quizplus · Accepted Answer

The occurrence of event B (exactly one die being 3) affects the probability of event A (neither die being 4) because if one die is already determined to be 3, it changes the total number of favorable outcomes for event A. Therefore, A and B are dependent.

Two Dice (One Red and One Green) Are Rolled, and the Numbers