In each of the following experiments,specify | vedclass

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

Question

(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

Vedclass · Accepted Answer

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

Vedclass · Answer

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

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

For two events $A$ and $B$,if $P(A \cup B) = \frac{3}{4}$,$P(A \cap B) = \frac{1}{4}$,and $P(A') = \frac{2}{3}$,then find $P(A' \cap B)$.

$A$ die is thrown. Describe the following events: $A$: a number less than $7$,$B$: a number greater than $7$,$C$: a multiple of $3$. Find $B \cup C$.

Let $A$ and $B$ be two events such that the probability that exactly one of them occurs is $\frac{2}{5}$ and the probability that $A$ or $B$ occurs is $\frac{1}{2}$,then the probability of both of them occurring together is

$A$ fair coin with $1$ marked on one face and $6$ on the other and a fair die are both tossed. Find the probability that the sum of numbers that turn up is $3$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module