Question

All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting king        

Answer 1

In a pack of 52 playing cards, there are 2 black jacks, 2 black queens and 2 black kings. 
All the black face cards are removed from the pack. Then,
Number of remaining cards = 52 − 6 = 46
∴ Total number of outcomes = 46

 There are 2 red king cards in the remaining pack of cards.

So, the favourable number of outcomes are 2.

∴ P(getting a king) =\[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{2}{46} = \frac{1}{23}\]