Let the nine different letters A, B, C… I `in` {1, 2, 3, …, 9}. Then find the probability that product (A - 1)(B - 1) … (I - 9) is an even number.

If a digit is chosen at random from the digits 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9 , then the probability that it is odd, is (a) 4/9 (b) 5/9 (c) 1/9 (d) 2/3

A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9. What is the probability that the product xy of the two numbers will be less than 9?

If a digit is chosen at random from the digits 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9 , then the probability that the digit is even, is (a) 4/9 (b) 5/9 (c) 1/9 (d) 2/3

A die is loaded so that the probability of a face i is proportional to i ,i=1,2,... 6. Then find the probability of an even number occurring when the die in rolled.

A die is loaded so that the probability of a face i is proportional to i ,i=1,2, 6. Then find the probability of an even number occurring when the die in rolled.

Let the matrix A and B defined as A=|[3,2] , [2,1]| and B=|[3,1] , [7,3]| Then the value of |det(2A^9 B^(-1)|=

Two numbers are selected at random from integers 1 through 9. If the sum is even, find the probability that both the numbers are odd.

If A = {1,3,5,7,9} and B = {1,2,3,4,5} then find A cup B and A cap B .

Find the product of : -9/16 a^(3)b^(2) and 3 1/5 ab

There are four boxes B_(1), B_(2), B_(3) and B_(4) . Box B_(i) has i cards and on each card a number is printed, the numbers are from 1 to i . A box is selected randomly, the probability of selecting box B_(i) is (i)/(10) and then a card is drawn. Let E_(i) respresent the event that a card with number 'i' is drawn, Then : Q. P(B_(3)|E_(2)) is equal to :