If U ={x: x is an integer and 1≤ x ≤ 20}

E₁ = {x: x is a multiple of 3}

E₂ = {x: x is a multiple of 4}

and an integer is picked at random from U,  find the probability that it is not in E₂

X and Y are two events. The probability of X or Y is 0.7 and the probability of X is 0.4. If X and Y are independent. Find the probability of Y

In how many ways can the word “MATHEMATICS” be arranged?

In how many can a delegation of 3 be chosen from among 5 men and 3 women. If at least one man and at least one woman must be included.

The variance of x, 2x, 3x, 4x and 5x is

 If the mean of number 0, x, x + 2, 3x + 6, and 4x + 8 is 4. Find the mean deviation

Find the sum of the range and mode of the set of numbers 10,5, 10, 9,8, 7,7,10, 8,10, 8,4, 6,9,10,9,10,9,7,10,6,5.

A dice is rolled 240 times and the result depicted in the table above. If a pie chart is constructed to represent the data, the angle corresponding to 4 is