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Picking 4 cards out of a deck of 52 what is the probability of picking 3 from one suit and 1 from another suit?
To determine the probability of picking 3 cards of one suit and 1 card of another in a standard 52 card deck, consider each card one at a time.
The probability of picking a card in any suit is 52 in 52, or 1.
Since there are now only 12 cards in the first suit, the probability of picking a card in the same suit is 12 in 51, or 4 in 17, or 0.2353.
Since there are now only 11 cards in the first suit, the probability of picking a card in the same suit is 11 in 50, or 0.22.
Since there are still 39 cards in the remaining three suits, the probability of picking a card in a suit different than the first is 39 in 49, or 0.7959.
The probability of picking 3 cards of one suit and 1 card of another in a standard 52 card deck is, therefore, the product of the probabilities of each card, or (52 in 52) (12 in 51) (11 in 50) (39 in 49), or 267696 in 6497400, or 0.0412, or about 1 in 25.
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What is probability of picking a King from a deck of cards?
There are 4 Kings in a deck of 52 cards, so the probability of picking a King is 4/52 or 1/13.
What is the Probability of picking a seven from a deck of cards?
There are four 7s in a deck of 52 cards. Therefore probability of picking a 7 is 4/52 or 1/13 or 0.0769.
What is the probability of picking a diamond out of a 52 card deck of cards?
The probability of picking a diamond out of a standard deck of 52 cards is 13 in 52, or 1 in 4, or 0.25.
What is the probability of picking a black ace?
The probability of picking a black ace in one random draw from a normal pack of playing cards is 1/26.
What is the probability of picking a 5 from a deck of 52 cards?
Since there are four 5's in a deck of 52 cards, the probability of picking a 5 from a deck of 52 cards is 4 in 52, or 1 in 13, or about 0.07692.
