- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

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

**(i)** a king of red colour

**(ii)** a face card

**(iii)** a red face card

**(iv)** the jack of hearts

**(v) **a spade

**(vi)** the queen of diamonds

Given:

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

To do:

We have to find the probability of getting

(i) a king of red colour

(ii) a face card

(iii) a red face card

(iv) the jack of hearts

(v) a spade

(vi) the queen of diamonds

Solution:

A pack of cards contains 52 cards of four suits and two colours red and black.

Four suits are named as spades, hearts, diamonds, and clubs.

Each suit consists of one ace, one king, one queen, one jack and 9 other cards numbered from 2 to 10.

This implies,

The total number of possible outcomes $n=52$.

(i) Number of cards that are king of red colour $=2$

Total number of favourable outcomes $=2$.

We know that,

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability of getting a king of red colour $=\frac{2}{52}$

$=\frac{1}{26}$

The probability of getting a king of red colour is $\frac{1}{26}$.

(ii) Number of cards that are face cards(Kings, Queens, Jacks) $=3\times4=12$

Total number of favourable outcomes $=12$.

We know that,

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability of getting a face card$=\frac{12}{52}$

$=\frac{3}{13}$

The probability of getting a face card is $\frac{3}{13}$.

(iii) Number of cards that are face cards(Kings, Queens, Jacks) $=3\times2=6$

Total number of favourable outcomes $=6$.

We know that,

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability of getting a red face card$=\frac{6}{52}$

$=\frac{3}{26}$

The probability of getting a red face card is $\frac{3}{26}$.

(iv) Number of cards that are jack of hearts $=1$

Total number of favourable outcomes $=1$.

We know that,

Therefore,

Probability of getting a jack of hearts $=\frac{1}{52}$

The probability of getting a jack of hearts is $\frac{1}{52}$.

(v) Number of cards that are spades $=13$

Total number of favourable outcomes $=13$.

We know that,

Therefore,

Probability of getting a spade $=\frac{13}{52}$

$=\frac{1}{4}$

The probability of getting a spade is $\frac{1}{4}$.

(vi) Number of cards that are the queen of diamonds $=1$

Total number of favourable outcomes $=1$.

We know that,

Therefore,

Probability of getting the queen of diamonds $=\frac{1}{52}$

The probability of getting the queen of diamonds is $\frac{1}{52}$.

- Related Articles
- One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a red face card.
- One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a face card.
- One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a jack of hearts.
- One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting the jack of hearts.
- One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a king of red suit.
- One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting the queen of diamonds.
- A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a king of red suit.
- A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting a red face card.
- One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a spade.
- A card is drawn from deck of card 52 cards. Find the probability of drawing a black queen a black card and a black face card.
- One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a queen of black suit.
- A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting neither a red card nor a queen.
- The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of heart.
- All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a red card.
- Five cards-ten, jack, queen, king, and an ace of diamonds are shuffled face downwards. One card is picked at random. What is the probability that the card is a queen?