Not to be an asshole but, unless you replace the first candy after taking it out, your formula's wrong. If you start w/ 50 red candies and 50 non-red candies,

Not to be an asshole but, unless you replace the first candy after taking it out, your formula's wrong. If you start w/ 50 red candies and 50 non-red candies, the chance of the first one red is 1/2 (from 50/100) but the chance the second one is red after first drawing a red candy is now 49/99. After removing one red candy, there are now 49 red candies and 99 total candies. So, P(red) * P(red | removed 1 red) = 49/198