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Two cards are drawn from a deck of cards. what is the probability that both cards are spades?
Wiki User
∙ 14y ago
This question is a little bit tricky. In a deck of 52 cards, one-fourth or 13 cards are spades. So, the chance of drawing one spade = 13/52 or 0.25. If a second card drawn, there's one less spade in the deck, so the probability on the second draw is 12/51.
The probability of drawing two spades from a deck is 0.25 x 12/51 = 0.058824 This is called sampling without replacement. In quality control, it is very common to sample without replacement as bad parts are discarded.
If we consider drawing one card, putting it back in the deck, regardless if it is a spade or not, then reshuffling the deck and drawing the second card, the probability is 0.25 x 0.25 = 0.0625, a bit higher with replacement. This is the same as 1/4 x 1/4 = 1/8 or saying the odds are 1:8.
I've included a couple of links on sampling with replacement and without replacement. Generally, for calculating statistics, we attempt to get independent results. The draw of one card, will reduce the population, and change the probabilities on the second draw, so sampling without replacement is not independent sampling.
See related links.
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∙ 14y ago
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2 cards are drawn at random from a pack of 52 cards. find the probability that both the cards are spades?
well theprobability would be 2x52/4 which is about 26%
If you draw 2 cards from a standard deck of 52 cards what is the probability that they will both be spades?
It is 156/2652 = 0.0588
What is The probability that the first and second card drawn from a deck of 52 cards are both kings?
Two cards are drawn from a pack of 52 cards second card is drawn after replacing the first card. What is the probability that the second card is a king?
What is the probability that both cards are spades?
The answer will depend on:whether the cards are drawn at random andwhether or not the first card is replaced before drawing the second.It also depends on how many times the experiment - of drawing two cards - is repeated. If repeated a sufficient number of times the probability will be so close to 1 as to make no difference from a certainty.
What is the probability of drawing an ace of spades on the first draw and a four of spades on the second draw using sampling without replacement.... how do you go about doing this problem?
There are 52 cards in the deck.The probability of drawing the ace of spades on the first draw is 1/52 .Since you don't put the first card back, there are then 51 cards in the deck.The probability of drawing the 4 of spades on the second draw is 1/51 .The probability of both occuring is (1/52) x (1/51) = 1/2,652 = 0.037707 % (rounded)
What is the probability of pulling two red cards without replacement from a deck of cards?
Assuming a pack consists of 52 cards as per normal. Initially half the cards are red. Probability that the first card drawn is red = 1/2. Now there are 25 red cards left out of 51 remaining cards. Probability that the second card drawn is red = 25/51. Probability that both cards drawn are red therfore = 1/2 * 25/51 = 25/102
The probability that two cards drawn from a deck of cards are both aces?
The probability of drawing two Aces from a standard deck of 52 cards is 4 in 52 times 3 in 51, or 12 in 2652, or 1 in 221, or about 0.00452.
What cards are the same color in a stack of cards?
Hearts and Diamonds are both red cards. Spades and Clubs are both black.
If a box contains three blue cards and three white cards If two cards are drawn one at a time find the probability that both cards are blue if the draws are made with replacement?
The probability of drawing two blue cards froma box with 3 blue cards and 3 white cards, with replacement, is 1 in 4, or 0.25.The probability of drawing one blue card is 0.5, so the probability of drawing two is 0.5 squared, or 0.25.
What is the probability of drawing two hearts from a standard pack of cards is 3 divided 51 what is the probability that the two cards drawn are not both hearts?
The probability of drawing a heart from a fair deck is 1 in 4. If the card is replaced then the probability is again 1 in 4. The probability of drawing a card other than a heart is 3 in 4. Once again if the card is replaced then the probability remains 3 in 4
Should you say spades is trumps or spades are trumps in the card game 500 and in bridge?
There are two ways of looking at it.If the question is - Which suit is trumps? What's trumps?The answer is - The suit named 'spades' is trumps. Spades is trumps.However, some people think of it as asking - Which cards are the trump cards?For them the answer is - The spade cards are the trump cards. Spades are trumps.The important thing is to never get into an argument about it, since both sides have a legitimate claim.
What suit of aces and eights did wild bill have?
Both pair of cards were clubs and spades.
