SOLUTION: A card is drawn at random from a standard deck of playing cards. What's the probability that it is not an ace or a heart?
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Question 708703: A card is drawn at random from a standard deck of playing cards. What's the probability that it is not an ace or a heart?
Answer by Simnepi(216) (Show Source): You can put this solution on YOUR website!
The probability of an event NOT happening is 1 - the probability of the event happening.
Eg. If there is a 25% chance of rain then the chance of NO rain is 1 - 25% (100% - 25%) = 75%
So in this problem
P{NOT ace OR heart}=1-P{ace OR heart}
the chance of getting an ace is 4 out of 52 () (This includes the ace of hearts)
the chance of getting a heart is 12 out of 52 () (can't include the ace in this as we've already counted it with the aces!)
Adding these fractions together
which simplifies to
so now we have
giving
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