I choose a card at random from a well-shuffled deck of 52 cards. There is a 1/4 probability that the card chosen is a spade, a 1/4 probability that the card is a heart, a 1/4 probability that the card is a diamond, and a 1/4 probability that the card is a club. Both spades and clubs are black cards, whereas hearts and diamonds are red. The events card is a heart and card is a club are:
A)disjoint events.
B)impossible events.
C)independent events.
D)None of the answer options is correct.

Question

Quizplus · Accepted Answer

The events "card is a heart" and "card is a club" cannot occur simultaneously since a card cannot be both a heart and a club. Therefore, they are disjoint events.

I Choose a Card at Random from a Well-Shuffled Deck