All kings, queens are aces are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn from it. Find the probability that the drawn card is : a black face card (b) a red card.

Answer

` (i) 1/20 (ii) 1/2`

Explanation

4 kings, 4 queen and 4 aces have been removed.
Remaining number of cards = 52-12 = 40.
(i) There are 2 black face cards in the remaining cards.
These are 2black jacks.
` :. ` P(getting 2 black face cards) =` 2/40 = 1/20`.
(ii) Remaining number of red cards = `26-(2+2+2) = 20`.
` :. ` P(getting a red card) =` 20/40 = 1/2`.