The chance of the 1st selection greater than 3 is 6/10 or 3/5

The chance of the 2nd selection greater than 3 is 5/9

The chance of the 3rd selection greater than 3 is 4/8 or 1/2

The chance of the 4th selection greater than 3 is 3/7

The chance of 5th selection greater than 3 is 2/6 or 1/3

Multiply all chances together we get: 1/42

So, the answer is 1/42 chance the 5 numbers selected are greater than 3