This set of Aptitude Questions and Answers (MCQs) focuses on “Cards – Set 2”.

1. What is the probability of drawing two kings from a well shuffled pack of cards without replacement?

a) 5/663

b) 3/221

c) 1/221

d) 1/663

View Answer

Explanation:

Total cards = 52

Probability of 1

^{st}card being a king = 4/52 = 1/13

Probability of 2

^{nd}card being a king = 3/51 = 1/17

Total probability = 1/13 * 1/17

= 1/221

2. What is the probability of drawing two spades from a well shuffled pack of cards without replacement?

a) 4

b) 6

c) 8

d) 12

View Answer

Explanation:

Total cards = 52

Probability of 1

^{st}card being a spade = 13/52 = 1/4

Probability of 2

^{nd}card being a spade = 12/51 = 4/17

Total probability = 1/4 * 4/17

= 1/17

3. What is the probability of drawing one spade and one club from a well shuffled pack of cards without replacement?

a) 15/204

b) 13/204

c) 11/204

d) 9/204

View Answer

Explanation:

Total cards = 52

Probability of 1

^{st}card being a spade = 13/52 = 1/4

Probability of 2

^{nd}card being a club = 13/51

Total probability = 1/4 * 13/51

= 13/204

4. What is the probability of drawing two numbered cards from a well shuffled pack of cards without replacement?

a) 105/221

b) 142/221

c) 90/221

d) 165/221

View Answer

Explanation:

Total cards = 52

Probability of 1

^{st}card being a number = 36/52 = 9/13

Probability of 2

^{nd}card being a number = 35/51

Total probability = 9/13 * 35/51

= 315/663 = 105/221

5. What is the probability of drawing two queens of diamond from a well shuffled pack of cards without replacement?

a) 1/4

b) 1

c) 0

d) 1/3

View Answer

Explanation:

Total cards = 52

Probability of 1

^{st}card being a diamond queen = 1/52

Probability of 2

^{nd}card being a diamond queen = 0/51 = 0

Total probability = 1/52 * 0

= 0

6. What is the probability of getting two ace cards from a well shuffled standard deck with replacement?

a) 8/169

b) 4/169

c) 16/169

d) 1/169

View Answer

Explanation:

Total cards = 52

Probability of 1

^{st}card being an ace = 4/52 = 1/13

Probability of 2

^{nd}card being an ace = 4/52 = 1/13

Total probability = 1/13 * 1/13

= 1/169

7. What is the probability of getting two heart cards from a well shuffled standard deck with replacement?

a) 1/16

b) 4/52

c) 8/52

d) 4/16

View Answer

Explanation:

Total cards = 52

Probability of 1

^{st}card being a heart = 13/52 = 1/4

Probability of 2

^{nd}card being a heart = 13/52 = 1/4

Total probability = 1/4 * 1/4

= 1/16

8. What is the probability of getting two numbered cards from a well shuffled standard deck with replacement?

a) 13/169

b) 9/169

c) 81/169

d) 18/169

View Answer

Explanation:

Total cards = 52

Probability of 1

^{st}card being a number = 36/52 = 9/13

Probability of 2

^{nd}card being a number = 36/52 = 9/13

Total probability = 9/13 * 9/13

= 81/169

9. What is the probability of getting two non-numbered cards from a well shuffled standard deck with replacement?

a) 4/169

b) 16/169

c) 4/13

d) 13/169

View Answer

Explanation:

Total cards = 52

Probability of 1

^{st}card being a non-number = 16/52 = 4/13

Probability of 2

^{nd}card being a non-number = 16/52 = 4/13

Total probability = 4/13 * 4/13

= 16/169

10. What is the probability of getting two black cards from a well shuffled standard deck with replacement?

a) 1/4

b) 1/8

c) 1/16

d) 1/13

View Answer

Explanation:

Total cards = 52

Probability of 1

^{st}card being a black card = 36/52 = 1/2

Probability of 2

^{nd}card being a black card = 36/52 = 1/2

Total probability = 1/2 * 1/2

= 1/4

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