An urn contains 10 balls numbered from 1 to 10. Carlo and Eric each draw a ball at the same time. Given that Carlo's number was higher than Eric's, what is the probability that Carlo drew a 6

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Answer:

1/9

Step-by-step explanation:

There are 10 x 9 ways to choose two balls from the urn. Order does not matter, since Carlo must have the larger ball. So there are 10 choose 2 total ways to choose the balls. If Carlos has the 6, Eric can only have balls 1-5, so the answer is 5/45, or 1/9.