Two real numbers are chosen at random between 0 and 2. What is the probability that their sum is no more than 1?
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Two real numbers are chosen at random between 0 and 2. What is the probability that their sum is no more than 1?
Assuming the numbers are integers, the following are all the possible choices.
0 0 0 1 0 2
1 0 1 1 1 2
2 0 2 1 2 2
The highlighted numbers are the pairs whose sum is no more than 1.
Sum no more than 1 3
All possible choices 9 ——>> probability is 3 / 9 or 1 / 3
or, as a percentage, 33.33%
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