Question 1199507: After removing all of the diamonds from a deck of cards, you are left with a 39 card deck with Hearts, Clubs, and Spades. Answer the following questions assuming that after each draw of a card, that card is returned to this deck and reshuffled.
What is the probability (in decimal, not fraction) of drawing a spade OR a black card?
Found 2 solutions by greenestamps, math_tutor2020:
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
26 of the remaining 39 cards are black; and that includes the spades. So the probability of getting spade or black is just the probability of getting black.
ANSWER: 26/39 = 2/3
You can do the conversion to decimal form....
Answer by math_tutor2020(3817)  (Show Source):
You can put this solution on YOUR website!
Red cards: Diamonds and Hearts
Black cards: Spades and Clubs
The set of spades is subset of the black cards.
Meaning the event "select spade OR black" is the same as "select black card", as mentioned by the other tutor.
The type of cards we have left are: Hearts, Spades, and Clubs.
Two of those card categories are black, out of 3 categories total.
Therefore, we get 2/3 = 0.667 approximately.
Round that decimal value however needed.
The 6's go on forever, but of course we have to round at some point.
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