SOLUTION: Question Help
Two cards are drawn without replacement from an ordinary deck. Find the probability that two
diamonds are drawn.
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Question 1136178: Question Help
Two cards are drawn without replacement from an ordinary deck. Find the probability that two
diamonds are drawn.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
How many diamonds are there in a full deck? Call that .
How many cards in the whole deck? Call it .
the probability of the first card being a diamond is .
after that diamond is drawn, how many diamonds are left in the deck? the answer is .
how many cards are left in the deck? the answer is .
the probability of of the second card being a diamond is
To get the probability of both, multiply the two fractions:
standard -deck of cards with four suits: hearts, clubs, diamonds, and spades; there are cards per suit.
=>
so, the probability that two diamonds are drawn is:
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