Deck of Cards Probability
Deck of Cards Probability
Deck of Cards Probability:
It is a pack of 52 playing cards. It has four suits and 13 cards in each suit. The four suits represent the four seasons, while the 52 cards represent the 52 weeks in a year. The 13 cards per suit represent the thirteen lunar cycles. The four suits in playing cards are clubs, diamonds, hearts, and spades. Out of these four suits the clubs and spades are black in colour and diamond and hearts are red in colour. Therefore, there are 26 red and 26 black cards
The thirteen cards of each suit comprise of an Ace, 2, 3, 4, 5, 6, 7, 8, 9,10, J (Jack), Q (Queen) and K (King). The J, Q, K are Face Cards have a face is drawn in each card. Thus, there are 12 face cards 3 in each suit. They are also called Court Cards because they represent Kings, Queens and Jacks the members of the court in olden times.
An Ace cannot be considered a “face card,” for the simple reason that it has no face on it.
The numbered cards 2, 3, 4, 5, 6, 7, 8, 9, 10 i.e. 9 in each suit hence 36 cards in a pack.
So, in a deck of cards we have 4 Ace cards, 2 black and 2 red. 36 numbered cards, 18 red and 18 black. 12 Face cards 6 red and 6 black.
Illustration: A card is drawn from a well-shuffled deck of 52 playing cards. Find the probability of getting an ace
Solution: As there are four aces in the deck, So the number of favorable cases =4
Total Outcomes: 52
Illustration: A card is drawn from a well-shuffled deck of 52 playing cards. Find the probability of getting 2 of spades
Solution: As there is only one 2 of spades in the deck, So the number of favorable cases =1
Total Outcomes: 52
Illustration: A card is drawn from a well-shuffled deck of 52 playing cards. Find the probability of getting a red queen
Solution: As there are two red queens one each of Hearts and Diamonds in the deck, So the number of favorable cases =2
Total Outcomes: 52
Illustration: A card is drawn from a well-shuffled deck of 52 playing cards. Find the probability of getting a face card
Solution: As there are 3 face cards in each suit and there are 4 suits (diamond, club, spade, heart) therefore there are 12 face cards in the deck, So the number of favorable cases =12
Total Outcomes: 52
A card is drawn from a well shuffled pack of 52 cards. Find the probability of: a king or a queen | |||
| Right Option : C | |||
| View Explanation | |||
There are __________ face cards in the deck of 52 playing cards. | |||
| Right Option : B | |||
| View Explanation | |||
From a deck of well shuffeled cards, a card is drawn at random. Find the probabilty of the card being a red number card. | |||
| Right Option : A | |||
| View Explanation | |||
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A marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
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10thThe experience was nice. I studied here for three years and saw a tremendous change in myself. I started liking subjects like English and SST which earlier I ran from. Extra knowledge gave me confidence to overcome competitive exams. One of the best institutes for secondary education.
