SOLUTION: If there are 30 pieces of paper in a hat and 4 of them have your name on them. What is the probability of drawing your name if you get to draw 2 pieces of paper at random. Order do

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Question 437553: If there are 30 pieces of paper in a hat and 4 of them have your name on them. What is the probability of drawing your name if you get to draw 2 pieces of paper at random. Order does not matter.
Once the first piece of paper is drawn, it is not added back into the hat.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
nCr=combination of n things taken r at a time = n!/((n-r)!*r!)
(4C0 * 26C2)/30C2
26C2=26!/(24!*2!)=325
30C2=30!/(28!*2)=435
=325/435
=65/87 Probability of your name not being drawn.
1 - 65/87 = 22/87 the probability of drawing your name if you get to draw 2 pieces of paper at random.
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Ed