If x is chosen at random from the set {1, 2, | vedclass

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

Question

(D) The set for $x$ is $\{1, 2, 3, 4\}$ and the set for $y$ is $\{5, 6, 7\}$.Total number of possible outcomes is $4 	imes 3 = 12$.The product $xy$ i

Vedclass · Accepted Answer

$\frac{2}{3}$

Vedclass · Answer

(D) The set for $x$ is $\{1, 2, 3, 4\}$ and the set for $y$ is $\{5, 6, 7\}$.Total number of possible outcomes is $4 	imes 3 = 12$.The product $xy$ is even if at least one of $x$ or $y$ is even.Alternatively,$xy$ is odd only if both $x$ and $y$ are odd.Odd values in $x$ are $\{1, 3\}$ (count = $2$).Odd values in $y$ are $\{5, 7\}$ (count = $2$).Number of outcomes where $xy$ is odd = $2 	imes 2 = 4$.Number of outcomes where $xy$ is even = $	ext{Total outcomes} - 	ext{Odd outcomes} = 12 - 4 = 8$.Probability that $xy$ is even = $\frac{8}{12} = \frac{2}{3}$.

If $x$ is chosen at random from the set $\{1, 2, 3, 4\}$ and $y$ is chosen at random from the set $\{5, 6, 7\}$,then the probability that $xy$ will be even is

Similar Questions

$A$ problem of mathematics is given to three students whose chances of solving the problem are $\frac{1}{3}$,$\frac{1}{4}$,and $\frac{1}{5}$ respectively. The probability that the question will be solved is

$A$ box contains $6$ nails and $10$ nuts. Half of the nails and half of the nuts are rusted. If one item is chosen at random,what is the probability that it is rusted or is a nail?

An integer is chosen from the set $\{2k \mid -9 \leq k \leq 10\}$. The probability that the chosen integer is divisible by both $4$ and $6$ is

If one card is drawn at random from a pack of $52$ cards,what is the probability that it is a king or a queen (in $/13$)?

$A$ coin is tossed again and again. If tail appears on the first three tosses, then the chance that head appears on the fourth toss is

Vedclass Test Series

Exam Paper Generator

Online Exam Module