Two dice are rolled simultaneously and counts are added (i) complete the table given
(ii) A student that 'there are 11 possible outcomes 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12. Therefor, each of the them has a probability `1/11`. Do you agree with this argument? Justify your answer.

Which of the following arguments are correct and which are not correct? Give reasons. i) If two coins are tossed simultaneously there are three possible outcomes - two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is 1/3 ii)If a die is thrown, there are two possible outcomes - an odd number or an even number. Therefore, the probability of getting an odd number is 1/2

For the given matrix A=[(1, 3, 5, 7), (2, 4, 6, 8), (9, 11, 13, 15)] the order of the matrix A^(T) is

Consider the numbers 1,2,3,4,5,6,7,8,9,10. If 1 is added to each number, the variance of the numbers so obtained is 6.5 (b) 2.87 (c) 3.87 (d) 2.87

An unbiased coin is tossed. If the result is a head, a pair of unbiased dice is rolled and the number obtained by adding the numbers on two faces is noted. If the result is a tail, a card from a well-shuffled pack of 11 cards numbered 2, 3, 4, ..., 12 is picked and the number on the card is noted. What is the probability that the noted number is either 7 or 8?

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (See figure), and these are equally likely outcomes. What is the probability that it will point at 8? (ii) an odd number? (iii) a number less than 9? (iv) a number greater than 2?

Two dice are numbered 1,2,3,4,5,6 and 1,1,2,2,3,3 respectively. They are rolled and the sum of the numbers on them is noted. Find the probability of gettting each sum from 2 to 9 separately.

Two different numbers are taken from the set {0,1,2,3,4,5,6,7,8,9,10}dot The probability that their sum and positive difference are both multiple of 4 is x//55 , then x equals ____.

State whether each of the following statement is true or false. Justify your answer. { 2, 6, 10, 14 } and { 3, 7, 11, 15} are disjoint sets.

In the matrix A=[(8, 9, 4, 3), (-1, sqrt(7), (sqrt(3))/(2), 5), (1, 4, 3, 0), (6, 8, -11, 1)] , write The order of the matrix.