Originally Posted by

**cnmath16** Q. **Two cards are drawn from a deck of 52 playing cards. Find the probability of each of the following events occurring:**

a) Both cards are clubs (3 marks)

N(S) = (52,2)

= 1326

C (13,2) = 78

P(E) = 78/1326

=39/663

=13/221

Therefore the probability that both cards are clubs is 13/221

b) Both cards are red (3 marks)

(36, 2) = 630

P (E) = 630/1326

=315/663

=105/221

Therefore, the probability that both are red is 105/221.

c) Both cards are queens (3 marks)

(4,2) = 6

P(E) = 6/1326

= 1/221

Therefore, the probability that both cards are queens is 1/221

d) Both cards are red queens (3 marks)

(2,2) = 1

P(E)= 1/1326

Therefore, the probability that both are red queens is 1/221.

e) Both cards are queens or both cards are red.

(32,2) + (4,2)

= 78 + 6

= 84

P(E) = 84/1326

= 42/663

= 14/221

Therefore the probability that both cards are queens or both are red is 14/221.

Please check and let me know if I am correct. THANK YOU