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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 -

    "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:

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