Answer:
We can divide the pack of cards in two ways
Non Ace cards and Ace cards
Since there are 4 aces in a pack
No of non ace cards will be 52–4=48
The question mentions atleast 1 ace cards so i can pick 1 ace card,2 ace cards or 3 ace cards
Case1:1 Ace card
1 will pick one ace card and 2 non ace cards
It can be done in 4C1*48*C2 ways
= 4*1128 = 4 512 ways
Case 2: 2 Ace Cards
I will pick 2 ace cards and 1 non ace card
It can be done in 4C2 * 48C1 = 6 * 48 =288 ways
Case 3:3 Ace cards
It can be done in 4C3 =4 ways
Therefore the probability is
(4512+288+4)/52C3
=4804/22100=0.217
Explanation: