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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.
What is the probability of drawing 1 card from each suit if 4 cards are drawn from a deck?
The easiest way to do this is to first calculate the probability of drawing spade/heart/club/diamond in order. This is 13/52 times 13/51 time 13/50 times 13/49. Note that each time there are 13 possible cards to choose from out of a shrinking deck. This probability comes out at 0.004396. The reason it's so small is that we haven't accounted for all the different ways you can draw the cards. You might draw the spades first, or the hearts first. There are 4x3x2x1 different orders the cards can come in. Multiply the probability by this and you get 0.1055 So the probability of having 1 card from each suit is 0.1055
What is the probability of drawing a ten from a deck of cards?
In a standard deck of 52 cards, there are four tens (one in each suit). Therefore, the probability of drawing a ten from a deck of cards is 4/52, which simplifies to 1/13 or approximately 0.0769 (or 7.69%). This calculation is based on the assumption that the deck is well-shuffled and each card has an equal probability of being drawn.
What is probability of each suit in a deck of cards?
The probability of each suit in a standard deck of cards is 13 in 52, or 1 in 4, or 0.25.
Find the probability you get a spade or a five on the first draw rounded to one decimal place?
In a standard deck of 52 cards. Probability of drawing a spade: 4 suits, only 1 is spade. Each suit contains A-10 (10 cards) + K + Q + J (3 cards) 13 cards in each suit. There are 13 cards in the spades suit. You have a 13/52 chance of drawing a spade on your first draw. Probability of drawing a 5: there are only 4 5's in the deck. 3/52 chance of drawing a 5. (one 5card per suit that is not spades) 13/52 + 3/52 = 16/52 = .3076 or 30.8% chance of drawing a 5 or a spade on your first pull.
