Two chips are drawn at random and without replacement from a bag containing two blue chips and two red chips. Events A and B are defined as follows.
A: {Both chips are red}
B: {At least one of the chips is blue}
$A \cap B = B \text {? }$

Question

Two chips are drawn at random and without replacement from a bag containing two blue chips and two red chips. Events A and B are defined as follows.
A: {Both chips are red}
B: {At least one of the chips is blue}
 $A \cap B = B \text {? }$

Quizplus · Accepted Answer

The intersection $A \cap B$ is the empty set because event A (both chips are red) and event B (at least one chip is blue) cannot occur simultaneously.

Two Chips Are Drawn at Random and Without Replacement from a Bag