Question

A deck of cards contains 52 cards. These cards consist of four suits​ (hearts, spades,​ clubs, and​ diamonds) of each of the​ following: 2,​ 3, 4,​ 5, 6,​ 7, 8,​ 9, 10,​ jack, queen,​ king, and ace. If a card is chosen from a deck of​ cards, find the probability of drawing the 8 of spades.

Answer 1

Answer:

The probability is $\frac{1}{52}$

Step-by-step explanation:

The pack of 52 cards is given.

There are 4 sets, each of hearts, spades,​ clubs, and​ diamonds, thus 13 cards of each.

13 cards are numbered cards from 2 - 10, and jack, queen,​ king, and ace.

The specific card of 8 are 4 in the set.

Thus,Probability of finding card of  8 is = P(A) = $\frac{4}{52}$

The probability of finding spades card is = P(B) = $\frac{13}{52}=\frac{1}{4}  $

Thus, the probability of finding 8 of spades is,

= P(A)P(B)

=$(\frac{4}{52})(\frac{1}{4}) = \frac{1}{52}$