Calculating Probability Based on a Deck of Cards

Q.

The probability of all $3$-digit numbers having all the digits same is

1. $\frac{1}{100}$

2. $\frac{3}{100}$

3. $\frac{7}{100}$

4. None of these

Q.

One card is drawn from a pack of $52$ cards. The probability that it is a king or diamond is

1. $\frac{1}{26}$

2. $\frac{3}{26}$

3. $\frac{4}{13}$

4. $\frac{3}{13}$

Q. In a fair deck of playing cards, the probability of picking a numbered card is

1. $\frac{33}{52}$
2. $\frac{9}{13}$
3. $\frac{1}{4}$
4. $\frac{10}{13}$

Q. Given a fair deck of playing cards, what is the probability of picking a black, face card?

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

Q. Two cards are drawn one after the other without replacement from a well shuffuled pack of 52 cards. The probability of drawing a face card on first draw and and an ace on the second is $\frac{A}{B}$, then the value of $A+B$ is

1. 225

Q. A card is drawn at random from a pack of $52$ cards. Find the probability that the card drawn is not a face card.

1. $\frac{3}{13}$
2. $\frac{12}{52}$
3. $\frac{10}{13}$
4. None of the above

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 drawn is red and a king.

1. $\frac{1}{13}$

2. $\frac{1}{52}$

3. $\frac{1}{26}$

4. $\frac{5}{6}$

Q. In a deck of fair playing cards, what is the probability of picking a red, numbered card?

1. $\frac{4}{13}$
2. $\frac{1}{4}$
3. $\frac{9}{26}$
4. None of the above

Q. Given a fair deck of playing cards, the probability of picking a lettered card is

1. $\frac{3}{13}$
2. $\frac{9}{13}$
3. $\frac{5}{13}$
4. $\frac{4}{13}$

Q. From a deck of cards, a card is picked at random. The probability that picked card is a red card is .(In decimals)

Q. A card is drawn at random from a deck of playing cards. What is the probability of drawing:

1. A Red king
2. A Black 10

1. $P\left(RedKing\right)=\frac{1}{26}$
   $P\left(Black{10}^{\prime }s\right)=\frac{1}{26}$
2. $P\left(RedKing\right)=\frac{1}{13}$
   $P\left(Black{10}^{\prime }s\right)=\frac{1}{26}$
3. $P\left(RedKing\right)=\frac{1}{26}$
   $P\left(Black{10}^{\prime }s\right)=\frac{1}{13}$
4. $P\left(RedKing\right)=\frac{1}{13}$
   $P\left(Black{10}^{\prime }s\right)=\frac{1}{13}$

Q. What is the probability of picking a red numbered card with number more than 6?

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

Q. A standard deck of cards is shuffled. What is the probability of:

1. Drawing a black lettered card $\left(P\right(BlackLettered\left)\right)$
2. Drawing a red numbered card $\left(P\right(RedNumbered\left)\right)$

1. $P\left(BlackLettered\right)=\frac{4}{13}$
   $P\left(RedNumbered\right)=\frac{4}{13}$
   
2. $P\left(BlackLettered\right)=\frac{9}{13}$
   $P\left(RedNumbered\right)=\frac{4}{13}$
3. $P\left(BlackLettered\right)=\frac{4}{26}$
   $P\left(RedNumbered\right)=\frac{9}{13}$
4. $P\left(BlackLettered\right)=\frac{2}{13}$
   $P\left(RedNumbered\right)=\frac{9}{26}$

Q. A card is drawn at random from a deck of playing cards. What is the probability of drawing:

1. A heart face card.
2. A numbered spade card greater than 8

1. $P\left(\text{Heart Face}\right)=\frac{2}{26}$
   $P\left(\text{Spade > 8}\right)=\frac{2}{13}$
2. $P\left(\text{Heart Face}\right)=\frac{3}{52}$
   $P\left(\text{Spade > 8}\right)=\frac{1}{26}$
3. $P\left(\text{Heart Face}\right)=\frac{1}{26}$
   $P\left(\text{Spade > 8}\right)=\frac{3}{52}$
4. $P\left(\text{Heart Face}\right)=\frac{3}{26}$
   $P\left(\text{Spade > 8}\right)=\frac{3}{13}$

Q. A card is drawn from a deck having $52$ cards. What is the probability that the drawn card is a jack or a queen?

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

Q. A card is drawn at random from a pack of $52$ cards. Find the probability that the card drawn is a red king.

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

Q. A standard deck of cards is shuffled. What is the probability of:

1. Drawing a Red Face card (P(Red Face))
2. Drawing a black card (P(Black))

1. $P\left(RedFace\right)=\frac{4}{13}$
   $P\left(Black\right)=\frac{1}{2}$
2. $P\left(RedFace\right)=\frac{3}{26}$
   $P\left(Black\right)=\frac{1}{2}$
3. $P\left(RedFace\right)=\frac{1}{2}$
   $P\left(Black\right)=\frac{1}{4}$
4. $P\left(RedFace\right)=\frac{1}{4}$
   $P\left(Black\right)=\frac{1}{4}$

Q. A card is drawn at random from a pack of $52$ cards. What is the probability that the card drawn is other than Ace card?

1. $\frac{13}{12}$
2. $\frac{12}{13}$
3. $\frac{1}{13}$
4. $\frac{4}{13}$

Q.

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a black king.