Asked by Christopher Thomas on May 09, 2024
Verified
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.
Disjoint
Referring to sets that have no elements in common; also used to describe events that cannot occur at the same time.
- Acquire knowledge of and execute the ideas of disjoint and non-disjoint events in contexts involving probability.
Verified Answer
HE
Hazel Exo88May 16, 2024
Final Answer :
B
Explanation :
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.
Learning Objectives
- Acquire knowledge of and execute the ideas of disjoint and non-disjoint events in contexts involving probability.