What is Probability?
How to compute poker probabilities?
What is the probability of getting a black face card in poker?
A step further
Conclusion
Free
20 Questions 20 Marks 15 Mins
Given:
Black face card = 6
Total cards = 52
Formula Used:
Probability = Number of favourable event/Number of total event
Calculation:
Number of favourable event = Black face card = 6
Number of total events = Total cards = 52
Probability = Number of favourable event/Number of total event
⇒ Probability = 6/52
⇒ Probability = 3/26
∴ The probability of getting a black face card is 3/26
The correct option is 2 i.e. 3/26
Additional Information
- There are 13 cards of each suit, consisting of 1 Ace, 3 face cards, and 9 number cards.
- There are 4 Aces, 12 face cards (6 Black + 6 Red), and 36 number cards in a 52 card deck.
- The probability of drawing any card will always lie between 0 and 1.
- The number of spades, hearts, diamonds, and clubs is same in every pack of 52 cards.
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a card is randomly selected from a deck of card. Find the probability that it is a black card or a face card
6 years ago
There are 52 cards in a deck in total. Of those 52 cards, there are four different suits (diamonds, hearts, clubs, spades). There are 13 cards in each of the different suits. Also, there are 3 face cards in each of the different suits (therefore, there are 12 face cards in total). Diamonds and Hearts are red cards (there are 26 total red cards) and Clubs and Spades are black cards (there are 26 total black cards).
There are 26 black cards and 12 face cards in total. However, of those 26 black cards, there are 6 face cards. That means there are 26+12-6 = 32 cards in total that are either a black card or a face card, but not both. That means the answer to the question is 32/52 = 8/13.
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6 years ago
A = number of black cards B = number of picture cards (or face cards) C = number of black picture cards
There are 26 black cards (spades and clubs), so A = 26.
There are 3 picture cards (Jack, Queen, King) in each suit. There are 4 suits (clubs, hearts, spades, diamonds). So there are 3*4 = 12 picture cards. This means B = 12
There are 2 suits which are black (spades and clubs) with 3 face cards per suit, so 2*3 = 6 cards which are both black cards and face cards. So C = 6
The number of cards that are either black cards or a face card, or both, is...
D = A+B-C D = 26+12-6
D = 32
So there are 32 cards that are either black cards or a face card, or both
This is out of 52 cards total, so
probability of selecting a black card or a picture card = D/52
probability of selecting a black card or a picture card = 32/52
probability of selecting a black card or a picture card = 8/13
The final answer, as a fraction, is 8/13
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