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
.