<h2>ways to pick 5 out of 2121C5 </h2><h2>there is one way to select 5 out of 5 (red), so the probability of 5 red is 1 / 21C5</h2><h2>there is one way to select 5 out of 5 (red), so the probability of 5 red is 1 / 21C5ways to pick 2 out of 5 (red) 5C2</h2><h2>there is one way to select 5 out of 5 (red), so the probability of 5 red is 1 / 21C5ways to pick 2 out of 5 (red) 5C2ways to pick 3 out of 16 (non-red)16C3</h2><h2>16C3so the probability of 2 red is [(5C2)(16C3)] / 21C5</h2><h2> [(5C2)(16C3)] / 21C5ways to pick no red 16C5 </h2><h2> [(5C2)(16C3)] / 21C5ways to pick no red 16C5 probability of no red16C5 / 21C5</h2>