Question

PLS HELP ASAP Consider a standard deck of 52 playing cards with 4 suits. If A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck, what is the intersection of A and B?

Answer 1

The intersection of events A and B represents the common elements between drawing a 6 and drawing a black card from a standard 52-card deck.

Step-by-step explanation:

The intersection of events A and B can be found by considering the elements that are common to both A and B. In this case, event A represents drawing a 6 from the deck, and event B represents drawing a black playing card from the deck.

There are 4 black 6 cards in the deck - the 6 of clubs, 6 of spades, 6 of diamonds, and 6 of hearts. Since the 6 of hearts is considered a red card, it is not included in event B.

Therefore, the intersection of A and B is the set {6 of clubs, 6 of spades, 6 of diamonds}, which consists of the 3 black 6 cards in the deck.

Answer 2

2

Step-by-step explanation:

The intersection of A and B is basically how many black 6s there are in a deck. There are 2: the 6 of spades and the 6 of clubs so the answer is 2.