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What are the probabilities of drawing 13 cards from a deck and NOT drawing the ace of spades? |
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Answer
75 to 25 odds in your favor.
In other words: The probability is 0.75
Explanation:
The probability of the first card not being the ace of spades is 51/52.
The probability of the second card not being the ace of spades is 50/51.
The probability of the third card not being the ace of spades is 49/50.
The probability of the thirteenth card not being the ace of spades is 39/40.
The probability of none of these 13 cards being the ace of spades is 51/52 * 50/51 * 49/50 * ... * 39/40 = (51*50*49*...*39)/(52*51*50*...*40) = 39/52 = 0.75
First answer by RoyR. Last edit by Speicus. Contributor trust: 55 [recommend contributor]. Question popularity: 45 [recommend question]
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