chevysilverado9770 chevysilverado9770
  • 13-01-2018
  • Mathematics
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A card is drawn at random from a deck. what is the probability that it is an ace or a king?

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jimthompson5910 jimthompson5910
  • 13-01-2018
There are 52 cards. Of this, there are 4 aces (one of each of the four suits) and 4 kings. There are 4+4 = 8 cards that are either an ace or a king (but not both). Note that the events "drawing an ace" and "drawing a king" are mutually exclusive. Being mutually exclusive means its impossible to have both events occur simultaneously for any single card.

So there are 8 cards we want (ace or king) out of 52 total

Dividing the two values, and reducing fully, gives:
8/52 = (4*2)/(4*13) = 2/13

The final answer as a fraction is 2/13
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