(B) The total number of cards in a pack is $52$. The number of Aces in a pack is $4$. We need to select $2$ cards out of $52$,which can be done in ${}

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(B) The total number of cards in a pack is $52$. The number of Aces in a pack is $4$. We need to select $2$ cards out of $52$,which can be done in ${}^{52}C_{2}$ ways. The number of ways to select $2$ Aces out of $4$ is ${}^{4}C_{2}$. The probability $P$ is given by: $P = \frac{{}^{4}C_{2}}{{}^{52}C_{2}} = \frac{\frac{4 \times 3}{2 \times 1}}{\frac{52 \times 51}{2 \times 1}} = \frac{4 \times 3}{52 \times 51} = \frac{12}{2652} = \frac{1}{221}$.

Class 11 Mathematics Probability Permutation and Combination based Probability

Easy

Two cards are drawn at random from a pack of $52$ cards. The probability of these two being Aces is

KCET 2016 All KCET

A
$ \frac{1}{26} $
B
$ \frac{1}{221} $
C
$ \frac{1}{2} $
D
$ \frac{1}{13} $

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Probability

Subtopic

Permutation and Combination based Probability

Previous Year

KCET 2016 Paper All KCET years →

If a committee of $3$ is to be chosen from a group of $38$ people of which you are a member,what is the probability that you will be on the committee?

Easy

View Solution

In a certain lottery,$10,000$ tickets are sold and $10$ equal prizes are awarded. What is the probability of not getting a prize if you buy $10$ tickets?

Easy

View Solution

Two cards are drawn without replacement from a well-shuffled pack. Find the probability that one of them is an ace of hearts.

Medium

View Solution

In a well-shuffled deck of $52$ cards,if two cards are drawn at random,what is the probability that both cards are kings?

Easy

View Solution

$A$ box contains $10$ red balls and $15$ green balls. If two balls are drawn in succession without replacement,then the probability that one is red and the other is green is:

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Two cards are drawn at random from a pack of $52$ cards. The probability of these two being Aces is

Similar Questions

If a committee of $3$ is to be chosen from a group of $38$ people of which you are a member,what is the probability that you will be on the committee?

In a certain lottery,$10,000$ tickets are sold and $10$ equal prizes are awarded. What is the probability of not getting a prize if you buy $10$ tickets?

Two cards are drawn without replacement from a well-shuffled pack. Find the probability that one of them is an ace of hearts.

In a well-shuffled deck of $52$ cards,if two cards are drawn at random,what is the probability that both cards are kings?

$A$ box contains $10$ red balls and $15$ green balls. If two balls are drawn in succession without replacement,then the probability that one is red and the other is green is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module