Question

Red queens and black jacks are removed from a pack of 52 playing cards. a card is drawn at random from the remaining cards, after reshuffling them. find the probability that the card drawn is: (i) a king (ii) of red colour (iii) a face card (iv) a queen

Answer 1

1-1/12
2-1/24
3-1/4
4-1/24

Answer 2

Answer:

Total number of outcomes = 52

Cards removed = 2+2+2+2 = 8[2 jack, 2 queen, 2 king and 2 aces of red colour]

Remaining number of cards = 52 – 8=44

Total number of outcomes = 44

(i) Favourable outcomes = 2 [There are 2 black queen]

Required probability =

(ii) Favourable outcomes = number of red cards left = 26 – 8=18

Probability for a red card =

(iii) Favourable outcomes = Number of black jacks = 2

Required probability =

(iv) Number of picture cards left =2+2+2 = 6 [jack, queen, King are picture cards]

Required probability =

(v) Honorable cards [ace, jack, queen and king]

No. of honorable cards left = 2+2+2+2=8

Required probability =