(Q12) One card is drawn from, a well-shuffled deck of 52 cards. Find the probability of getting

(i) a king of red colour

(ii) a face card

(iii) a red face card

(iv) the jack of hearts

(v) a spade

(vi) the queen of diamonds.

Answer :

∴ Number of all possible outcomes in drawing a card at random = .

(i) Number of outcomes favourable to the king of red colour = 2(♥ K, ♦ K)

∴ Probability of getting the king of red colour

P(E) =
No. of favourable outcomes
No. of total outcomes
 =
2
.
 =
1
.

(ii) Number of face cards in a deck of cards =.

Number of outcomes favourable to select a face card = ..

∴ Probability of getting a face card =
No. of favourable outcomes
No. of total outcomes
 =
.
.
 =
3
.

(iii) Number of red face cards = ..

∴ Number of outcomes favourable to select a red face card = .

∴ Probability of getting a red face =
No. of favourable outcomes
No. of total outcomes
 =
=
3

(iv) Number of outcomes favourable to the jack of hearts = .

∴ Probability of getting a jack of hearts =
No. of favourable outcomes
No. of total outcomes
 =

(v) Number of spade cards =

∴ Number of outcomes favourable to 'a spade card' = .

∴ Probability of drawing a spade =
No. of favourable outcomes
No. of total outcomes
 =
=
1

(vi) Number of outcomes favourable to the queen of diamonds = 1.

∴ Probability of drawing the queen of diamonds =
No. of favourable outcomes
No. of total outcomes
 =