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Picking numbers (Posted on 2015-07-17) Difficulty: 3 of 5
Bernardo randomly picks 3 distinct numbers from the set (1; 2; 3; 4; 5; 6; 7; 8; 9) and arranges them in descending order to form a 3-digit number.
Silvia randomly picks 3 distinct numbers from the set (1; 2; 3; 4; 5; 6; 7; 8) and also arranges them in descending order to form a 3-digit number.

What is the probability that Bernardo's number is larger than Silvia's number?
Source: AMO

See The Solution Submitted by Ady TZIDON    
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re: Solution | Comment 6 of 7 |
(In reply to Solution by puzzlesrfun)

When Bernardo doesn't have a 9, there's also the possibility he has the same number as Sylvia, reducing the probability he has a higher number.


See the previous discussion.

  Posted by Charlie on 2015-07-29 10:22:14
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