Bernardo randomly picks 3 distinct numbers from the set $1,2,3,\dots ,7,8$ and arranges them in descending order to form a 3-digit number. Silvia randomly picks 3 distinct numbers from the set $1,2,3,\dots ,6,7$ 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?