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 black card  

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 

Number of black cards in the remaining pack of cards = 26 − 6 = 20
So, the favourable number of outcomes are 20.
∴ P(getting a black card) =\[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{20}{46} = \frac{10}{23}\]