A standard deck of cards has 52 cards.The cards have one of two colors: 26 cards in the deck are red and 26 are black.The cards have one of four denominations: 13 cards are hearts (red),13 cards are diamonds (red),13 cards are clubs (black),and 13 cards are spades (black).Two cards are selected at random.Event C is defined as the event that the first card is clubs,event R as the event that the first card is red,and event B as the event that the second card is black.Which events are disjoint?
A)R and B only
B)R and C only
C)R and B and R and C,but not B and C
D)None of the events are disjoint.

Question

Quizplus · Accepted Answer

Events R and C are disjoint because a card cannot be both red and a club. However, events R and B are not disjoint because a red card can also be black (specifically, a red card of either hearts or diamonds). Similarly, events C and B are not disjoint because a club can also be red. Therefore, the only disjoint events are R and C.

A Standard Deck of Cards Has 52 Cards