Question

In a standard deck of playing cards, there are four suits (red suits hearts and diamonds, black suits spades and clubs). Each suit has thirteen cards: Ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, and the face cards Jack (J), Queen (Q), and King (K). In a single draw, what is the probability that you will draw a face card? A red card? A red face card?

Answer 1

Probability can be calculated by dividing the number of possible outcomes by the total number of outcomes.

probability=
`(possible outcomes)/(total outcomes)`

There are 4 suits each with 13 cards (10 number and 3 face cards)

Total number of cards = 13 x 4 = 52

1. Probability of having a face card:

There are 3 face cards in each suite and there are four suits in total. Thus, total number of face cards = 3 x 4 = 12

Total number of cards in a deck = 52

Probability of drawing a face cards =
`(12)/(52)` = 0.231

2. Probability of drawing a red card:

There are two red suits (red suits heart and red diamonds) each having 13 cards. Thus, total number of red cards = 13 x 2 = 26

Total number of cards in a deck = 52

Probability of drawing a red card =
`(26)/(52)` = 0.5

3. Probability of drawing a red face card:

There are two red suits (red suits heart and red diamonds) each having 3 face cards. Thus, total number of red cards = 3 x 2 = 6

Total number of cards in a deck = 52

Probability of drawing a red card =
`(6)/(52)` = 0.115