JEE Exam > JEE Questions > The probability that a card drawn at random f...
Start Learning for Free
The probability that a card drawn at random from a pack of 52 cards is a king or a heart is
- a)16/52
- b)1/13
- c)1/52
- d)1/4
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The probability that a card drawn at random from a pack of 52 cards is...
The number of kings in a deck are 4
Number of hearts in the deck are 13, including the king of hearts
Probability of getting either a king or a heart is, P = 4+(13–1) / 52
P = 16/52
Number of hearts in the deck are 13, including the king of hearts
Probability of getting either a king or a heart is, P = 4+(13–1) / 52
P = 16/52
Free Test
FREE
| Start Free Test |
Community Answer
The probability that a card drawn at random from a pack of 52 cards is...
Given:
Total number of cards in a pack = 52
To find:
Probability of drawing a king or a heart
Solution:
There are 4 kings in a pack of cards (1 king of hearts, 1 king of diamonds, 1 king of clubs, and 1 king of spades).
There are 13 hearts in a pack of cards (including the king of hearts).
We need to find the probability of drawing a king or a heart. Let's calculate the number of favorable outcomes and the total number of possible outcomes.
Number of favorable outcomes:
There are 4 kings and 13 hearts in a pack of cards, but we need to subtract the king of hearts because it has already been counted as a king. So, the number of favorable outcomes is 4 + 13 - 1 = 16.
Total number of possible outcomes:
There are 52 cards in a pack, so the total number of possible outcomes is 52.
Probability:
Probability is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Substituting the values, we get:
Probability = 16 / 52
Simplifying the fraction, we get:
Probability = 4 / 13
Therefore, the probability of drawing a king or a heart is 4/13, which is equivalent to option A (16/52).
Note: The probability can also be expressed as a decimal or percentage. In this case, 4/13 is approximately 0.3077 or 30.77%.
Total number of cards in a pack = 52
To find:
Probability of drawing a king or a heart
Solution:
There are 4 kings in a pack of cards (1 king of hearts, 1 king of diamonds, 1 king of clubs, and 1 king of spades).
There are 13 hearts in a pack of cards (including the king of hearts).
We need to find the probability of drawing a king or a heart. Let's calculate the number of favorable outcomes and the total number of possible outcomes.
Number of favorable outcomes:
There are 4 kings and 13 hearts in a pack of cards, but we need to subtract the king of hearts because it has already been counted as a king. So, the number of favorable outcomes is 4 + 13 - 1 = 16.
Total number of possible outcomes:
There are 52 cards in a pack, so the total number of possible outcomes is 52.
Probability:
Probability is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Substituting the values, we get:
Probability = 16 / 52
Simplifying the fraction, we get:
Probability = 4 / 13
Therefore, the probability of drawing a king or a heart is 4/13, which is equivalent to option A (16/52).
Note: The probability can also be expressed as a decimal or percentage. In this case, 4/13 is approximately 0.3077 or 30.77%.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
The probability that a card drawn at random from a pack of 52 cards is a king or a heart isa)16/52b)1/13c)1/52d)1/4Correct answer is option 'A'. Can you explain this answer?
Question Description
The probability that a card drawn at random from a pack of 52 cards is a king or a heart isa)16/52b)1/13c)1/52d)1/4Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The probability that a card drawn at random from a pack of 52 cards is a king or a heart isa)16/52b)1/13c)1/52d)1/4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The probability that a card drawn at random from a pack of 52 cards is a king or a heart isa)16/52b)1/13c)1/52d)1/4Correct answer is option 'A'. Can you explain this answer?.
The probability that a card drawn at random from a pack of 52 cards is a king or a heart isa)16/52b)1/13c)1/52d)1/4Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The probability that a card drawn at random from a pack of 52 cards is a king or a heart isa)16/52b)1/13c)1/52d)1/4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The probability that a card drawn at random from a pack of 52 cards is a king or a heart isa)16/52b)1/13c)1/52d)1/4Correct answer is option 'A'. Can you explain this answer?.
Solutions for The probability that a card drawn at random from a pack of 52 cards is a king or a heart isa)16/52b)1/13c)1/52d)1/4Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The probability that a card drawn at random from a pack of 52 cards is a king or a heart isa)16/52b)1/13c)1/52d)1/4Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The probability that a card drawn at random from a pack of 52 cards is a king or a heart isa)16/52b)1/13c)1/52d)1/4Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The probability that a card drawn at random from a pack of 52 cards is a king or a heart isa)16/52b)1/13c)1/52d)1/4Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The probability that a card drawn at random from a pack of 52 cards is a king or a heart isa)16/52b)1/13c)1/52d)1/4Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The probability that a card drawn at random from a pack of 52 cards is a king or a heart isa)16/52b)1/13c)1/52d)1/4Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup