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

Prove that the sum of two odd numbers is even.

The sum of consecutive even numbers is always an even number.

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

Which of the following sentences are statements? Give reasons for your answer The square of a number 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

An unbiased die is thrown. What is the probability of getting (i) an even number or a multiple of 3 . (ii) a number between 3 and 6.

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

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

A die is thrown a fixed number of times. If probability of getting even number 3 times is same as the probability of getting even number 4 times, then probability of getting even number exactly once is a. 1//6 b. 1//9 c. 5//36 d. 7//128