Question 1189345: * Show your complete solution
* Explain your answer after the solution
2. If a card is drawn from a deck of 52 playing cards, then what is the probability of getting
a. an ace or jack
b. a red card or a black card
c. a number below 5 or a black card
d. a spade or a diamond
e. a red card or a face card
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! there are 4 aces and 4 jacks, and each is unique, so this would be 8/52 or 2/13.
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Red card or a black card is 100%. There are no other types.
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number below 5 is 4/3/2 (will exclude an ace), which are 12 cards.
Black cards are 26.
But we have to subtract the double counted black cards that are below 5, and there are 6 of them.
So the probability is (12+26-6)/52=32/52 or 8/13.
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Spade or a diamond are 2 of the 4 suits so 50%.
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Red card or face card is (26+12-6)/52 since there are 26 red cards, 12 face cards, and half the face cards are red. This is also 32/52 or 8/13.
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