Question

In a well shuffled deck of 52 cards, find the probability of getting not a face card.​

Answer 1

Total No. of cards = 52

No. of face cards = 12

So, P(Face Card) = 12/52 = 6/26 = 3/13

Thus, P(non-face card) = 1 - 3/13 = (13-3)/13 = 10/13

Alternate:

No. of face cards = 12

So, no. of non-face cards = 52 - 12 = 40

Thus, P(non-face card) = 40/52 = 20/26 = 10/13