Two integers are chosen at random and multipl | vedclass

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

Question

(B) Let the two integers be $x$ and $y$. Each integer can be either even $(E)$ or odd $(O)$.There are $4$ possible outcomes for the pair $(x, y)$: $(E

Vedclass · Accepted Answer

$\frac{3}{4}$

Vedclass · Answer

(B) Let the two integers be $x$ and $y$. Each integer can be either even $(E)$ or odd $(O)$.There are $4$ possible outcomes for the pair $(x, y)$: $(E, E), (E, O), (O, E), (O, O)$.Each outcome has a probability of $\frac{1}{4}$.$1$. If both are even $(E, E)$,the product is even.$2$. If one is even and one is odd $(E, O)$ or $(O, E)$,the product is even.$3$. If both are odd $(O, O)$,the product is odd.The outcomes resulting in an even product are $(E, E), (E, O), (O, E)$.Therefore,the required probability is $\frac{3}{4}$.

Two integers are chosen at random and multiplied. The probability that the product is an even integer is

Similar Questions

$A$ die has two faces each with number $1$,three faces each with number $2$,and one face with number $3$. If the die is rolled once,then $P(1 \text{ or } 3)$ is

If $A$ and $B$ are any two events,then the probability that exactly one of them occurs is

If $A$ and $B$ are events such that $P(A \cup B) = 3/4,$ $P(A \cap B) = 1/4,$ and $P(\bar{A}) = 2/3,$ then $P(\bar{A} \cap B)$ is

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:

Two dice are thrown simultaneously. What is the probability of obtaining a multiple of $2$ on one of them and a multiple of $3$ on the other?

Vedclass Test Series

Exam Paper Generator

Online Exam Module