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

The question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. A card is picked at random from a well shuffled regular pack of cards. What card is it? I. If another card is drawn without replacement, the probability that it is a red queen is not 2/51 II. If another card is drawn without replacement, the probability that it is not a diamond is 13/17

A

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked

B

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked

C

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, bu tNEITHER statement ALONE is sufficient

D

EACH statement ALONE is sufficient to answer the question asked

E

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, andadditional data are needed

Smitha's collection of 113 greeting cards include a mix of birthday cards, new year cards, Diwali cards, Christmas cards, and a marriage anniversary card. The number of birthday cards is equal to the sum of all the others except the marriage anniversary card. The number of new year's cards is double the number of Diwali cards. Which in turn is double the number of Christmas cards. Then the ratio of the birthday cards to the Christmas cards in her collection is

A

7 ∶ 1

B

7 ∶ 2

C

5 ∶ 2

D

8 ∶ 3

Two cards are randomly drawn from a well shuffled pack of 52 cards one after the other without replacement. What is the probability that both of them are non-face cards of different suit and different face value. (Note ∶ Only King, Queen and Jack are face cards. The face value of the card is the number displayed on the card. Ace has the face value to 1)?

A

140/663

B

180/221

C

280/663

D

90/221

E

None of these

A pack of the card contains some Black cards, Red cards and Blue cards such that the probability of picking a Black card is 2/7 and the probability of picking a Red card is 1/2. If all the cards are numbered starting from 1, 2, 3, …. and so on, then what is the probability of getting one card numbered as multiple of 3 or 7 out of the total cards.

A

3/7

B

5/14

C

1/12

D

6/11

E

None of these

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

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

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

Two cards are drawn from a well shuffled pack of 52 cards. What is the probability of getting a red king and a red card without replacement?

A

33/1326

B

25/1326

C

27/1326

D

21/1326

E

29/1236

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: From a pack of cards, two cards are drawn at random. Probability that one is a diamond and other is not a king is Quantity B: Probability that a card drawn from a pack of cards is either a jack or a heart is ..

A

Quantity A > Quantity B

B

Quantity A < Quantity B

C

Quantity A ≥ Quantity B

D

Quantity A ≤ Quantity B

E

Quantity A = Quantity B

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

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

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