SOLUTION: a standard deck of 52 cards is selected and one card is drawn.what is the probability that the card is an ace or a face card?

Question 521409: a standard deck of 52 cards is selected and one card is drawn.what is the probability that the card is an ace or a face card?
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
In a standard deck of cards there are three face cards (a face card is a jack, a queen, and a king) for each of the four suits. So in a deck of cards there are a total of 12 face cards. There also are four aces, one for each suit. The sum of these cards is 12 plus 4 which is 16. That means that in a well shuffled deck there are 16 total cards that are either a face card or an ace.
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The probability of drawing a face card or an ace from the deck on a single draw is calculated by dividing the total number of cards (52) into the total number of desired outcomes.
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So in this case, the probability of "winning" is 16 divided by 52. Both of these numbers are divisible by 4, so this fraction (16/52) reduces to 4/13. This means that for this problem the probability of drawing a face card or an ace in a single draw is 4/13 (which can be read as "4 in 13" meaning that typically in many trials of this problem you could expect on average to draw a "winner" 4 times in every 13 trials) or by dividing the it out the probability becomes 0.307692 or 30.7692%.
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Hope this helps you to understand the problem.
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