Q:

A standard​ 52-card deck has four​ 13-card suits:​ diamonds, hearts,​ clubs, and spades. the diamonds and hearts are​ red, and the clubs and spades are black. each​ 13-card suit contains cards numbered from 2 to​ 10, a​ jack, a​ queen, a​ king, and an ace. an experiment consists of drawing 1 card from the standard deck. find the probability of drawing a black king of heartsblack king of hearts.

Accepted Solution

A:
Answer:Probability of drawing a black five of diamonds= 0Step-by-step explanation:Given,Total number of cards, n(B) = 52Number of diamonds cards = 13Number of hearts cards = 13Number of clubs cards = 13Number of spades cards = 13Since,the diamonds and hearts are​ red, and the clubs and spades are black.So, the number of card which is black diamond = 0So,the number of black five of diamonds, n(A) = 0So, the probability of drawing a black five of diamonds is, [tex]P(A)\ =\ \dfrac{n(A)}{n(B)}[/tex]          [tex]=\ \dfrac{0}{52}[/tex]          = 0So, the probability of drawing a black five of diamonds is zero.