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Posted by 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 - , 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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