Question

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 five of diamonds.

Answer 1

Answer:

Probability of drawing a black five of diamonds= 0

Step-by-step explanation:

Given,

Total number of cards, n(B) = 52

Number of diamonds cards = 13

Number of hearts cards = 13

Number of clubs cards = 13

Number of spades cards = 13

Since,the diamonds and hearts are​ red, and the clubs and spades are black.

So, the number of card which is black diamond = 0

So,the number of black five of diamonds, n(A) = 0

So, the probability of drawing a black five of diamonds is,

$P(A)\ =\ \dfrac{n(A)}{n(B)}$

         $=\ \dfrac{0}{52}$

         = 0

So, the probability of drawing a black five of diamonds is zero.