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Four cards are drawn at random from a pack of 52 playing cards Find the probability of getting all face cards?
Face cards in a regular set of playing cards consist of Jack, Queen, King, and Ace. With these 4 face cards occurring in all 4 suits (hearts, diamonds, clubs, and spades), that gives 16 total face cards.
If we draw 4 cards without putting them back, the probabilities are calculated on each draw as (number of face cards remaining)/(total number of cards remaining)
1st draw: 16/52 = 0.307692308
2nd draw: 15/51 = 0.294117647
3rd draw: 14/50 = .28
4th draw: 13/49 = 0.265306122
These are the individual probabilities of each step independent of each other. To calculate the probability when depending on the success of the previous step, we simply multiply each step's probabilities together.
Probability of drawing N face cards in a row:
1: (16/52) = 0.307692308
2: (16/52)*(15/51) = 0.0904977376
3: (16/52)*(15/51)*(14/50) = 0.0253393665
4: (16/52)*(15/51)*(14/50)*(13/49) = 0.00672268908
This translates to approximately a 7 in 1000 chance of drawing 4 face cards in a row out of a deck of 52 cards!
What else can I help you with?
What are chosen at random from a standard deck of cards with replacement what is the probability of getting to aces?
"Playing cards" are chosen at random.
What is the probability of choosing a queen or a king from standard deck of 52 playing cards?
The answer depends on how many cards are drawn, whether or not at random, with or without replacement. The probability for a single card, drawn at random, from a normal deck of playing cards is 2/13.The answer depends on how many cards are drawn, whether or not at random, with or without replacement. The probability for a single card, drawn at random, from a normal deck of playing cards is 2/13.The answer depends on how many cards are drawn, whether or not at random, with or without replacement. The probability for a single card, drawn at random, from a normal deck of playing cards is 2/13.The answer depends on how many cards are drawn, whether or not at random, with or without replacement. The probability for a single card, drawn at random, from a normal deck of playing cards is 2/13.
What is the probability of picking a jack or queen deck of cards?
The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.For a single card, drawn at random from an ordinary deck of playing cards, the probability is 2/13.The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.For a single card, drawn at random from an ordinary deck of playing cards, the probability is 2/13.The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.For a single card, drawn at random from an ordinary deck of playing cards, the probability is 2/13.The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.For a single card, drawn at random from an ordinary deck of playing cards, the probability is 2/13.
What is probability of a drawn card being a club?
The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.The probability for a single card, drawn at random, from a normal deck of playing cards is 1/4.The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.The probability for a single card, drawn at random, from a normal deck of playing cards is 1/4.The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.The probability for a single card, drawn at random, from a normal deck of playing cards is 1/4.The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.The probability for a single card, drawn at random, from a normal deck of playing cards is 1/4.
How does the probability of getting two pairs compare to getting three of a kind in a standard deck of playing cards?
The probability of getting two pairs in a standard deck of playing cards is higher than the probability of getting three of a kind.
What is the probability of getting a black 4 out of a 52 deck of cards?
If you pick enough cards, without replacement, the probability is 1. The probability for a single random draw is 1/26.
What is the probability of picking a card at random from a pack of cards and getting a spade?
It is 1/4.
What is the probability of drawing a 6 of hearts?
The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement. The probability for a single card, drawn at random, from a normal deck of playing cards is 1/52.
What is the probability of drawing a seven of hearts?
The probability on a single random draw, from a normal deck of cards, is 1/52.The probability on a single random draw, from a normal deck of cards, is 1/52.The probability on a single random draw, from a normal deck of cards, is 1/52.The probability on a single random draw, from a normal deck of cards, is 1/52.
What is probability of getting a 3 in a deck of cards?
For an ordinary deck of cards, the probability is 1. All decks of playing cards contain 3s.For an ordinary deck of cards, the probability is 1. All decks of playing cards contain 3s.For an ordinary deck of cards, the probability is 1. All decks of playing cards contain 3s.For an ordinary deck of cards, the probability is 1. All decks of playing cards contain 3s.
A card is drawn at random from an ordinary pack of playing cards what is the probability that it is a spade?
The probability that it is a spade when drawn is 13/52 or 1/4.
One letter is chosen at random from an ordinary pack of playing cards What is the probability that it is not a two?
1/13
