CAT Exam  >  CAT Questions  >  Two cards are drawn from a pack of well shuff... Start Learning for Free
Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a heart and other is a ace?
Most Upvoted Answer
Two cards are drawn from a pack of well shuffled cards. Find the proba...


Probability of Drawing One Heart and One Ace from a Pack of Cards

When two cards are drawn from a well-shuffled pack of cards, there are a total of 52C2 = 1326 possible outcomes.

Finding the Number of Favorable Outcomes

  • There are 13 hearts and 4 aces in a deck of cards.

  • So, the number of ways to choose one heart and one ace is 13C1 * 4C1 = 13 * 4 = 52.


Finding the Probability

  • The probability of drawing one heart and one ace is the number of favorable outcomes divided by the total number of outcomes.

  • Therefore, Probability = Number of Favorable Outcomes / Total Number of Outcomes = 52 / 1326 = 0.0391 (approx).


Interpretation

  • There is a 3.91% chance of drawing one heart and one ace when two cards are drawn from a well-shuffled pack of cards.



Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam
Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a heart and other is a ace?
Question Description
Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a heart and other is a ace? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a heart and other is a ace? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a heart and other is a ace?.
Solutions for Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a heart and other is a ace? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a heart and other is a ace? defined & explained in the simplest way possible. Besides giving the explanation of Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a heart and other is a ace?, a detailed solution for Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a heart and other is a ace? has been provided alongside types of Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a heart and other is a ace? theory, EduRev gives you an ample number of questions to practice Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a heart and other is a ace? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev