You have a standard deck of 52 cards. There are four suits: clubs, diamonds, hearts, and spades. Each suit has 13 cards: Ace,2,3,4,5,6,7,8,9,10,Jack,Queen,King. Given Events A and B, are the two events mutually exclusive?

 You have a standard deck of 52 cards. There are four suits: clubs, diamonds, hearts, and spades. Each suit has 13 cards: Ace,2,3,4,5,6,7,8,9,10,Jack,Queen,King. Given Events A and B, are the two events mutually exclusive? Explain your answer.

Event A: Drawing a 10.

Event B: Drawing a heart.

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Yes, the events are mutually exclusive because they have no outcomes in common.

Yes, the events are mutually exclusive because P(A) is not equal to P(B).

No, the events are not mutually exclusive because they both require drawing a card

No, the events are not mutually exclusive because they share the common outcome of 10 of hearts.

Answer Explanation
Correct answer:
No, the events are not mutually exclusive because they share the common outcome of 10 of hearts.

A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B)=0.

In this case, A and B have an outcome in common, 10 of hearts, so they are not mutually exclusive.