Question

In a standard deck of playing cards there are four​ suits: clubs,​ diamonds, hearts, and​ spades, and the following cards appear in each​ suit: Ace,​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, Jack,​ Queen, King. The​ Jack, Queen, and King are called face cards because they have a drawing of a face on them. Diamonds and hearts are​ red, and clubs and spades are black. If you draw 1 card randomly from a standard​ 52-card playing​ deck, what is the probability of​ drawing:

Answer 1

Explanation:

Allow me to add more information on your question and hope it will fit with the original one:

what is the probability that it will​ be:

a.7​?

b. A black ​card?

c. A face card?

Here is my answer:

As we know the total possible outcomes is the total number of cards: 52 a. a. 7?

If we draw 1 card randomly from a standard​ 52-card playing​ deck and it is 7 so we have 4 possible outcomes:

=> P(7) =
`(4)/(52) = (1)/(13)` ≈ 0.076

b. A black ​card?

If we draw 1 card randomly from a standard​ 52-card playing​ deck and it is black so we have 26 possible outcomes:

=> P(black card) =
`(26)/(52)` = 0.5

c. A face card?

If we draw 1 card randomly from a standard​ 52-card playing​ deck and it is a face card so we have: Jacks + Queens + Kings = 4+4+4 =12

=> P (a face card) =
`(12)/(52) = (3)/(13)` ≈0.23

Hope it will find you well.