Playing Cards Probability Problems

Playing Cards Probability Problems

Playing cards probability problems based on a well-shuffled deck of 52 cards. There are four types of cards in the pack of 52 cards. Two types in black color and other two types in red color. The four different types of cards are shown in the picture given below.

Basic concept on drawing a card

In a pack or deck of 52 playing cards, they are divided into 4 suits of 13 cards each i.e. spades ♥hearts ♦, diamonds ♦, clubs ♣.

• Cards of Spades and clubs are black cards.
• Cards of hearts and diamonds are red cards.
• The card in each suit, are ace, king, queen, jack or knaves, 10, 9, 8, 7, 6, 5, 4, 3 and 2.
• King, Queen and Jack (or Knaves) are face cards. So, there are 12 face cards in the deck of 52 playing cards.

Let us come to know the following stuff related the pack of 52 playing cards.

• Club - 13 cards
• Heart - 13 cards
• Spade - 13 cards
• Diamond - 13 cards
• No. of black cards - 26
• No. of red cards - 26
• No. of Ace cards (named as "A") - 4
• No. of Jack cards (named as "J" - 4
• No. of Queen cards (named as "Q") - 4
• No. of King cards (named as "K") - 4
• No. of face cards (named as "J", "Q" and "K") - 12

Question: A card is drawn from a well shuffled pack of 52 cards. Find the probability of: a king of red colour.

Number of favourable outcomes i.e. 'a king of red colour' is 2 out of 52 cards.

Therefore, probability of getting 'a king of red colour'

        Number of favorable outcomes
P(C) =  Total number of possible outcome

      = 2/52
      = 1/26

Question: A card is drawn from a well shuffled pack of 52 cards. Find the probability of: a jack.

Number of favourable outcomes i.e. 'a jack' is 4 out of 52 cards.

Therefore, probability of getting 'a jack'

        Number of favorable outcomes
P(B) =  Total number of possible outcome

      = 4/52
      = 1/13