Question

All the face cards of heart are removed from the
pack of 52 cards and the remaining cards are
reshuffled. A card is drawn at random. Find the
probability of getting (i) a red face card (ii) a
queen (iii) a red card (iv) a black card. (HOTS)​

Answer 1

i) There are 12 face cards in all in pack of 52 cards.

Out of that there are 6 red face cards. (52 - 6 = 46)

Out of 12 face cards, 6 red face cards are removed.  

hence, remaining red cards = 26 - 6= 20  

The probability of getting the red from remaining 46 cards = 20/46 = 10/23  

ii) After removing 6 red face cards  there are 2 black queens left in remaining 46 cards  

The probability of getting a queen is 2/46 = 1/23

iii) There are two black aces in the remaining 46 cards.

The probability of getting an ace is 2/46 = 1/23  

iv) There are 2 black jacks, 2 black queens and 2 black kings i.e. total 6 face cards in 46 cards.  

The probability of getting a face card 6/46 = 3/23