Question

If I were to draw 26 cards from a standard 52 card deck (26 of them are Red, and 26 of them are Black), What are the odds that they would all be Red without seeing a single Black card?

Answer 1

There is total 26 red cards out of 52 and since we need to select 26 cards hence there is only 1 case in which we get all 26 cards as red cards.

Total ways to select 26 cards out of 52 = C(52, 26)

Hence, odds that we have all red = 1 : (4.96*10^14) - 1

As 4.96*10^14 is approx quantity and very big hence we use C(52 , 26) to show it.

So, better way to show is: 1 : C(52, 26) - 1

I hope this will help. Thank you.