Posted by Rena on Tuesday, December 14, 2010 at 10:31pm.
A student has a penny, nickel, dime, and quarter distributed
two coins apiece to his front two pants pockets.
What is the probability that the front right pocket has more than 30¢ in it?
Can you show all work, I am acting as a school teacher who is teaching this problem to elementary students, thanks.

Math  MathMate, Wednesday, December 15, 2010 at 11:20am
"the front right pocket has more than 30¢ in it"
More than 30¢ implies you can only have a dime and a quarter.
The first coin has to be a dime or a quarter out of 4 coins, so the probability is 2/4. The second coin has to be one choice out of three, so it is 1/3.
We want the both events to occur, so the probability is the product of the probabilities of the individual events, namely:
(2/4)*(1/3)
=1/6
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