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

(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.

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