From a pack of 52 cards, a black jack, a red queen and two black kings were removed. A card was then drawn from the remaining pack at random. Find the probability that the card drawn is :
(i) a black card (ii) a king (iii) a red queen.

Explanation

As a black jack, a red queen and two black kings are removed, the number of cards left in the pack= 52 - 4 = 48
`therefore` The total number of outcomes = 48
(i) Number of black cards left in the pack= 26 - 3 = 23
`therefore" Probability of black card "=(23)/(48).`
(ii) Number of kings left in the pack= 4 - 2 = 2
`therefore" The number of favourable outcomes to the event a king = 2 "`
Probability of getting a king `=(2)/(48)=(1)/(24)`
(iii) Number of red queens left in the pack - 2 -1 = 1
`therefore" Probability of red queen "=(1)/(48)`