(A) Let the coins be represented by their values: $1, 2, 5$.Since he takes out two coins one after the other,the order matters.The first coin can be a

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

$S = \{ (1, 2), (1, 5), (2, 1), (2, 5), (5, 1), (5, 2) \}$

(A) Let the coins be represented by their values: $1, 2, 5$.Since he takes out two coins one after the other,the order matters.The first coin can be any of the three: $1, 2, 5$.If the first coin is $1$,the second can be $2$ or $5$. Outcomes: $(1, 2), (1, 5)$.If the first coin is $2$,the second can be $1$ or $5$. Outcomes: $(2, 1), (2, 5)$.If the first coin is $5$,the second can be $1$ or $2$. Outcomes: $(5, 1), (5, 2)$.Thus,the sample space is $S = \{ (1, 2), (1, 5), (2, 1), (2, 5), (5, 1), (5, 2) \}$.

Class 11 Mathematics Probability Set Based probability

Easy

In each of the following experiments,specify the appropriate sample space: $A$ boy has a $1$ rupee coin,a $2$ rupee coin,and a $5$ rupee coin in his pocket. He takes out two coins out of his pocket,one after the other.

A
$S = \{ (1, 2), (1, 5), (2, 1), (2, 5), (5, 1), (5, 2) \}$
B
$S = \{ (1, 2), (1, 5), (2, 1), (2, 5) \}$
C
$S = \{ (1, 2), (2, 5), (1, 5) \}$
D
$S = \{ (1, 1), (2, 2), (5, 5) \}$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Probability

Subtopic

Set Based probability

Let the sum of two positive integers be $24$. If the probability,that their product is not less than $\frac{3}{4}$ times their greatest positive product,is $\frac{m}{n}$,where $\operatorname{gcd}(m, n)=1$,then $n-m$ equals :

DifficultJEE MAIN 2024

View Solution

Two students Anil and Ashima appeared in an examination. The probability that Anil will qualify the examination is $0.05$ and that Ashima will qualify the examination is $0.10$. The probability that both will qualify the examination is $0.02$. Find the probability that both Anil and Ashima will not qualify the examination.

Medium

View Solution

Suppose $A$ and $B$ are two events such that $P(A \cap B) = \frac{3}{25}$ and $P(B - A) = \frac{8}{25}$. Then,$P(B)$ is equal to

EasyTS EAMCET 2010

View Solution

$A$ manager decides to distribute $Rs. 20000$ between two employees $X$ and $Y$. He knows $X$ deserves more than $Y$,but does not know how much more. So,he decides to arbitrarily break $Rs. 20000$ into two parts and gives $X$ the bigger part. Then,the chance that $X$ gets twice as much as $Y$ or more is

DifficultAP EAMCET 2022

View Solution

In a competition,$A, B$,and $C$ are participating. The probability that $A$ wins is twice that of $B$,and the probability that $B$ wins is twice that of $C$. Then,the probability that $A$ loses is:

MediumAP EAMCET 2001

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

In each of the following experiments,specify the appropriate sample space: $A$ boy has a $1$ rupee coin,a $2$ rupee coin,and a $5$ rupee coin in his pocket. He takes out two coins out of his pocket,one after the other.

Similar Questions

Let the sum of two positive integers be $24$. If the probability,that their product is not less than $\frac{3}{4}$ times their greatest positive product,is $\frac{m}{n}$,where $\operatorname{gcd}(m, n)=1$,then $n-m$ equals :

Suppose $A$ and $B$ are two events such that $P(A \cap B) = \frac{3}{25}$ and $P(B - A) = \frac{8}{25}$. Then,$P(B)$ is equal to

In a competition,$A, B$,and $C$ are participating. The probability that $A$ wins is twice that of $B$,and the probability that $B$ wins is twice that of $C$. Then,the probability that $A$ loses is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module