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total number of cases : 52C13
favorable cases : (52-1)C13 = 51C13
P (of not drawing an ace of spades) = 51C13/52C13
= 3/4
odds against this question is : 3/(4-3)
= 3/1 [ANS.]
Since an ace is a subset of one of the spades, we start off with the assumption that in those spades, they won't pick an ace. Therefore:
(13 - 1)/52 = 12/52 = 3/13
Now, the probability of getting an ace is 4/51.
Multiplying these together, we have: 3/13(4/51) = 4/221.
Now, we need to figure out the probability of it having the ace in the spade. The probability of that is 1/52. If that is true, then the probability of grabbing another ace is 3/51 = 1/17! Thus:
1/52(1/17) = 1/884
Adding we have:
4/221 + 1/884 = 16/884 + 1/884 = 17/884 = 1/52.
Straight off the deck, your chances of drawing the Ace of Spades is 1 in 52 or about 1.9% (1/52x100 per cent).
In a 7 card draw, you have a 7 in 52 chance of drawing an Ace of Spades or roughly 18% (7/52x100 per cent).
It's simple math...
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What is the probability of drawing a ace of spades?
there are 52 card and there is only 4 aces out of which only 1 ace of spade, so the probability of drawing ace of spade is 1 out of 52 or 1/52.
If you were to draw a card in a single deck what is the probability of drawing a 2 of spades?
There are 52 cards in a deck and 1 ace of spades. So the probability is 1/52 or unlikely.
What is the probability of get ace of spades on first draw and get queen of hearts on second draw?
The probability of drawing the Ace of Spades on the first draw is 1 in 52. The probability of drawing the Queen of Hearts on the second draw is 1 in 51. The probability of both of those event occurring is 1 in 2652. (1 in 52) times (1 in 51)
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 drawing a seven of spades?
Probability of drawing a seven of spades, from a 52 card deck, is 1/52.
If you draw a card from a standard deck of cards what is the probability of drawing the ace of spade?
since there is only one Ace of Spades and 52 cards in a deck the probability would be 1/52.
In a standard deck of 52 playing cards what is the probability of not drawing an ace on one draw?
Probability of not drawing an ace equals one minus the probability of drawing an ace. The probability of drawing an ace is 4/52 or 1/13. So the probability of not drawing an ace on one draw is 1 - 1/13 or 12/13 or 0.9231 (92.31%).
What is the probability of drawing 4 spades from a deck of 52 cards?
The probability of drawing the Four of Spades from a standard deck of 52 cards is 1 in 52, or about 0.01923.
What is the probability of drawing an ace or a diamond?
In a standard 52 card deck, the probability of drawing an ace is 1/13, and the probability of drawing a diamond is 1/4. The probability of drawing both an ace and a diamond is 1/52.Thus the probability of drawing an ace or a diamond is1/13 + 1/4 - 1/52 = 4/13 or about .308.
What Probability of drawing a spade or ace from 52 card deck?
The probability of drawing a spade or an ace from a 52 card deck of standard playing cards is 16 / 52 or approximately 30.8%. There are 13 spades in a standard deck of cards. There are four aces in a standard deck of cards. One of the aces is a spade. So, 13 + 4 - 1 = 16 spades or aces to choose from. Since we have a total of 52 cards, the probability of selecting an ace or a spade is 16 / 52 or approximately 30.8%.
What is the probability of drawing the king of spades?
(1 in 52) or about 0.01923.
What is the probability of picking a card that will be a diamond or the ace of spades?
If you mean in one draw from a standard 52- card deck, there are 13 diamonds and ace of spades have 14 chances out of 52 for a probability of 14/52 or about 26.6923 %
