All the black face cards are removed from a pack of 52 playing cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting a (i) face card, (ii) red card, (iii) black card, (iv) king.

All the black face cards are removed from a pack of 52 playing cards.

1.	All the black face cards are removed from a pack of 52 playing cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting a (i) face card, (ii) red card, (iii) black card, (iv) king.
Answer» Out of 52 playing cards, 2 black jacks, 2 black queen and 2 black kings have been removed. Total number of remaining cards = (52-6) = 46. (i) Now, there are 6 face cards in the remaining cards. `:. ` P(getting a face card) = ` 6/46 = 3/23`. (ii) There are 26 red cards. ` :. ` P(getting a red card) ` = 26/46 = 13/23`. (iii) Out of 46 cards, number of black cards = 26 -6 = 20. ` :. ` P( getting a black card) ` = 20/46 = 10/23`. (iv) Now, these 46 cards have 2 kings. ` :. ` P(getting a king) =` 2/46 = 1/23`.

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All the black face cards are removed from a pack of 52 playing cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting a (i) face card, (ii) red card, (iii) black card, (iv) king.

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