Question 129555: Two students, Katie and Carly, are playing a game that uses ten different numbered cards lying face down on a table. The faces of the cards are labeled with one of the numbers from 1 to 10(each card has a different number). If Katie and Carly each turn over a different card, what is the probability that the sum of the two cards is even?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Two students, Katie and Carly, are playing a game that uses ten different numbered cards lying face down on a table. The faces of the cards are labeled with one of the numbers from 1 to 10(each card has a different number). If Katie and Carly each turn over a different card, what is the probability that the sum of the two cards is even?
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Make a list of the possible outcomes:
1+1,1+2,1+3.................1+9
2+1,1+2,2+3,2+4.............2+9
3+1,etc
......
......
.......
9+1,1+2,9+3,................9+9
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Count the number of even results.
Divide by 100
That fraction is the probability you are looking for.
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Cheers,
Stan H.
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