Question

Q.2 One card is drawn at a random from a pack of 52 cards. Find the probability of drawing

following cards:

(a) red face cards

(b) red king cards

(c) 2 of spades​

Answer 1

Answer:

1. 6/52

2.2/52

3. 1/4

Step-by-step explanation:

red face cards = 6

red kings = 2

spades = 13...13/56=1/4

Answer 2

Answer:

(i) $\frac{3}{26}$

Step-by-step explanation:

Total number of cards = 52.

(i) 4 kings, 4 queen and 4 jacks are all face cards.

Number of red face cards = 2+2+2 = 6.

∴ P(getting a red face card)  =$\frac{6}{52}$=$\frac{3}{26}$

(ii)  2 kings

Number of red king cards = 2.

∴ P(getting a red face card)  =$\frac{2}{52}$=$\frac{1}{26}$

(iii) Number of favourable outcomes i.e. ‘2’ of spades is 1 out of 52 cards.

Therefore, probability of getting ‘2’ of spade

P(A) =  $\frac{ Number of favorable outcomes}{Total number of possible outcome}$  

     = 1/52