The probability that the sum of 2 numbers cho | vedclass

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

Question

(C) The total number of ways to choose $2$ numbers from $30$ consecutive integers is $n = \binom{30}{2} = \frac{30 	imes 29}{2} = 15 	imes 29$.The s

Vedclass · Accepted Answer

$\frac{15}{29}$

Vedclass · Answer

(C) The total number of ways to choose $2$ numbers from $30$ consecutive integers is $n = \binom{30}{2} = \frac{30 	imes 29}{2} = 15 	imes 29$.The sum of two numbers is odd if and only if one number is even and the other is odd.In $30$ consecutive integers,there are $15$ even and $15$ odd numbers.The number of ways to choose one even and one odd number is $r = \binom{15}{1} 	imes \binom{15}{1} = 15 	imes 15$.The required probability is $P = \frac{15 	imes 15}{15 	imes 29} = \frac{15}{29}$.

The probability that the sum of $2$ numbers chosen at random from $30$ consecutive integers is odd 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?

$A$ four-digit number is to be formed using the digits $1, 2, 3, 4, 5, 6, 7$ (no digit is repeated). What is the probability that the number formed is $> 4000$?

An old man forgets the last two digits of a telephone number. He dials these two digits randomly. What is the probability that he dials the correct number?

$A$ flashlight has $10$ batteries,out of which $4$ are dead. If $3$ batteries are selected without replacement and tested,then the probability that all $3$ are dead is:

$A$ bag contains $3$ red and $3$ white balls. If two balls are drawn one after another,what is the probability that they are of different colors?

Vedclass Test Series

Exam Paper Generator

Online Exam Module