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}
True or False: $$A \cap B = B .$$

Question

Quizplus · Accepted Answer

The intersection $A \cap B$ represents the event where both chips are red and at least one chip is blue, which is impossible. Therefore, $A \cap B$ is an empty set, not equal to $B$.

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