Deck of Cards and Probability

Q.

One card is drawn from a pack of$52$cards, each of the$52$cards being equally likely to be drawn. Find the probability that the card is drawn is an ace.

Q. The probability of drawing neither a king nor a spade from a pack of 52 cards is.

1. $\frac{13}{52}$
2. $\frac{15}{52}$
3. $\frac{17}{52}$
4. $\frac{9}{13}$
5. $\frac{19}{52}$

Q. What is the probability of getting a queen from a well shuffled pack of only red cards?

1. 1/13
2. 1/4
3. 1/26
4. 1/3

Q. King, queen, ace, and jack of diamonds are removed from a pack of 52 cards. The remaining cards in the pack are well shuffled. A card is drawn randomly from the remaining cards. Find the probability of getting a card of a jack.

1. $\frac{1}{24}$
2. $\frac{1}{12}$
3. $\frac{1}{48}$
4. $\frac{1}{16}$

Q. A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting a card bearing a number greater than 2 but less than 9.

1. $\frac{1}{13}$
2. $\frac{4}{13}$
3. $\frac{6}{13}$
4. $\frac{5}{13}$

Q.

One card is drawn from a deck of 52 cards. The probability of drawing a black card is

1. ¹/₅₂

2. ¹/₄

3. ¹/₂

4. ¹/₃

Q. The probability of getting an even numbered card from a well-shuffled pack of playing cards is ____.

1. 4/13
2. 
   3/13
3. 6/13
4. 
   5/13

Q.

A bag contains 6 red balls & some blue balls. If probability of drawing a blue ball from the bag is thrice the probability of drawing a red ball. Find the number of blue balls in the bag.

1. 6

2. 18

3. 22

4. 16

5. 12

Q. One card is drawn from a pack of 52 cards. Then, the probability of getting a red coloured king is ___.

1. $\frac{1}{26}$
2. $\frac{1}{13}$
3. $\frac{3}{26}$
4. $\frac{7}{13}$

Q. A card is drawn from a well-shuffled pack of 52 cards. Find the probability that the card drawn is neither a jack nor a queen.

1. 
   $\frac{22}{26}$
2. 
   $\frac{45}{52}$
3. 
   $\frac{47}{52}$
4. 
   $\frac{11}{13}$

Q. Question 38(i)
In a game, the entry fee is of Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise, she will lose. For tossing a coin three times, find the probability that she loses the entry fee.

Q.

If a black bag contains 100 casino chips with values €5, €10, €15, €20, €50. There are ten chips of value €5. You have to withdraw one chip from the box. What is the probability that it has a value more than €5?

1. 

2. 

3. 

4. 

Q. A card is drawn from a well-shuffled pack of 52 cards. Find the probability that the card drawn is neither a jack nor a queen.

1. 
   $\frac{22}{26}$
2. 
   $\frac{45}{52}$
3. 
   $\frac{11}{13}$
4. 
   $\frac{47}{52}$

Q. A die is thrown once. What is the probability of getting a number greater than 4?

Q.

Three companies are bidding on a contract. Company A is twice as likely to win as Company B, and Company B is three times as likely to win as Company C. What is the probability of each company winning the contract? [4 MARKS]

Q.

A box contains some black balls & 30 white balls. If the probability of drawing a black ball is ²/₅^th of a white ball, find the number of black balls in the box.

1. 6

2. 18

3. 12

4. 42

5. 30

Q. A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting a red face card

Q. The probability of drawing an ace from a pack of 52 cards is $\frac{1}{13}.$

1. False
2. True

Q. King, queen, ace, and jack of diamonds are removed from a pack of 52 cards. The remaining cards in the pack are well shuffled. A card is drawn randomly from the remaining cards. Find the probability of getting a card of a jack.

1. $\frac{1}{24}$
2. $\frac{1}{12}$
3. $\frac{1}{48}$
4. $\frac{1}{16}$

Q.

One card is drawn from a well-shuffled deck of$52$cards.

Find the probability of getting a spade.

Q.

From a well-shuffled deck of 52 cards, a card is picked at random. (i) Find the probability of the card being a queen of spades. (ii) If the card drawn at first is a queen of spade and is not replaced, what is the probability of getting a card which is a spade?

1. (i) $\frac{1}{52}$ (ii) $\frac{12}{51}$

2. (i) $\frac{13}{52}$ (ii) $\frac{1}{51}$

3. (i) $\frac{1}{4}$ (ii) $\frac{1}{12}$

4. (i) $\frac{1}{26}$ (ii) $\frac{12}{51}$

Q. The probability of drawing a red coloured card from a well-shuffled pack of playing cards is ____.

1. 1/2
2. 
   1/4
3. 2/3
4. 3/4

Q.

There is a pack of 52 cards. Ram removes the queen of hearts and the jack of spades from this pack. Ram now picks a card at random from this reduced pack. What is the probability that Ram picks is a Jack card?

1. 0.05

2. 0.06

3. 0.03

4. 0.07

Q.

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is black or king.

1. $\frac{1}{2}$
2. $\frac{7}{13}$
3. $\frac{15}{26}$
4. $\frac{8}{13}$

Q. The probability of drawing a '2' numbered card from a pack of 52 cards is $\frac{3}{13}$.

1. False
2. True

Q.

One card is drawn from a well-shuffled deck of$52$cards. Find the probability of getting a face card.

Q.

One card is drawn from a pack of$52$cards, each of the$52$cards being equally likely to be drawn. Find the probability that the card is drawn is a red card.

Q. In a hand at Whist, $\frac{a}{4165}$ is the probability that four kings are held by a specified player. find the value of $a.$

Q.

One card is drawn from a well-shuffled deck of$52$cards. Find the probability of getting a face card.

Q. One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting

(ii) a face card.