Five cards - the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. What is the probability that the card is the queen?
Given:
Five cards-ten, jack, queen, king, and an ace of diamonds are well-shuffled with their face downwards. One card is picked at random.
To do:
We have to find the probability that the card is the queen.
Solution:
Total number of cards $=5$
This implies,
The total number of possible outcomes $n=5$.
Number of cards that are queen $=1$
Total number of favourable outcomes $=1$.
We know that,
Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$
Therefore,
Probability of getting the queen $=\frac{1}{5}$
The probability of getting the queen is $\frac{1}{5}$.
Related Articles
- 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?
- Five cards – the ten, jack, queen, king and ace of diamonds, are well shuffled with their face downwards. One card is then picked up at random.(i) What is the probability that the card is the queen?(ii) If the queen is drawn and put aside, what is the probability that the second card picked up is(a) an ace?(b) a queen?
- Five cards - the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. If the queen is drawn and put a side, what is the probability that the second card picked up is (a) an ace? (b) a queen?
- Five cards-ten, jack, queen, king, and an ace of diamonds are shuffled face downwards. One card is picked at random. If a king is drawn first and put aside, what is the probability that the second card picked up is the (i) ace? (ii) king?
- A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a jack, queen or a king.
- One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting the queen of diamonds.
- 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
- A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probality that the drawn card is neither a king nor a queen.
- A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is neither a king nor a queen.
- A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a queen.
- 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.
- All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability to getting a face card.
- 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.
- 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.
- A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is neither a red card nor a queen.
Kickstart Your Career
Get certified by completing the course
Get Started
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