A standard deck consists of 52 cards, distributed as follows: There are 13 cards in each of 4 suits: hearts, diamonds, spades, and clubs. Hearts and diamonds are red. Spades and clubs are black. In each suit there are 13 ranks: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

Assume that cards are dealt from a well-shuffled deck; that is, cards are dealt at random without replacement.

1. The "face" cards are those that have a person's face on them: Jack, Queen, or King. One card is dealt. Find the chance that it is a face card.

Question

Mathematics

Jason Fox

26 June, 00:59

A standard deck consists of 52 cards, distributed as follows: There are 13 cards in each of 4 suits: hearts, diamonds, spades, and clubs. Hearts and diamonds are red. Spades and clubs are black. In each suit there are 13 ranks: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

Assume that cards are dealt from a well-shuffled deck; that is, cards are dealt at random without replacement.

1. The "face" cards are those that have a person's face on them: Jack, Queen, or King. One card is dealt. Find the chance that it is a face card.

+2

Answers (1)

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Lisa Collins · Answer 1

A standard deck consists of 52 cards. each card has 4 colors. So if there are 3 face cards, it means:

4 x 3 = 12 face cards in total.

Therefore,

The total number outcomes are 52 and if we want to draw tha face cards then the probability will be:

P (face cards) = 12/52

= 6/26

= 3/13