Prove that the sum of two odd numbers is even.

Two integers are selected at random from the set {1, 2, …, 11}. Given that the sum of selected numbers is even, the conditional probability that both the numbers are even is

Prove that the product of two even numbers is an even number.

A six-faced dice is so biased that it is twice as likely to show an even number as an odd number when thrown. It is thrown twice, the probability that the sum of two numbers thrown is even is a. 1//12 b. 1//6 c. 1//3 d. 5//9

State whether the following statements are true or false. Give reasons for your answers. The sum of two even number is even .

State whether the following statements are true or false. Give reasons for your answers. Square number can be written as the sum of two odd numbers .

Prove that the sum of first n positive odd numbers is n^(2)

Prove that the sum of n number of terms of two different A.P. s can be same for only one value of ndot

Prove that the sun of first n' non-zero even numbers in n^(2)+ n