Mathematical formulation of probability level

If you randomly draw five cards from a deck of 52 playing cards without a king, there may be at least three aces.

At least three. If it is difficult to prove, it will be the other way around. Then find the probability that there is only one a.

52 * * There are 52C5 ways to draw five.

There are only 1 A in 52 A's, so one of the four A's is 4C 1.

Take four of the remaining 48 ... 48C4.

So the answer is 1-(4C 1 times 48C4)/(52C5).