Asked by Rena
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.
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.
Answers
Answered by
MathMate
"the front right pocket has <i>more</i> 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
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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