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) About Me  (Show Source):
You can put this solution on YOUR website!

How many diamonds are there in a full deck? Call that d.
How many cards in the whole deck? Call it c.

the probability of the first card being a diamond is d%2Fc.

after that diamond is drawn, how many diamonds are left in the deck? the answer is %28d-1%29.
how many cards are left in the deck? the answer is %28c-1%29.

the probability of of the second card being a diamond is+%28d-1%29%2F%28c-1%29

To get the probability of both, multiply the two fractions:
d%28d-1%29%2Fc%28c-1%29
standard 52-deck of cards with four suits: hearts, clubs, diamonds, and spades; there are 13 cards per suit.
=>
c=52
d=13
so, the probability that two diamonds are drawn is: