What are your chances of winning the following lottery? You choose a set of 10 distinct numbers from the set S={1,…,50}, and the person running the lottery selects 6 (distinct) numbers at random, also...

What are your chances of winning the following lottery? You choose a set of 10 distinct numbers from the set S={1,…,50}, and the person running the lottery selects 6 (distinct) numbers at random, also from the set S. If all six selected numbers are a subset of your chosen set of 10 numbers, then you win.