Question

All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from then. Find the probability that the drawn card is a red card (ii) a face card and (iii) a card of clubs.

Answer 1

Correct Answer - ` (i) 10/23 (ii) 3/23 (iii) 6/23`
There are 6 red face cards.These are removed.
Remaining numbers of cards = 52-6 = 46.
(i) Number of red cards now= 26-6 = 20.
` :. ` p(getting a red card0 ` = 20/46 = 10/23`.
(ii) Remaining number of face cards = 12 - 6 = 6.
` :. ` P(getting a face card) =`6/46 = 3/23`.
(iii) There are 12 cards of clubs.
` :. ` p(getting a card of clubs) ` = 12/46 = 6/23`.