Find the probability that the sum of the numbers showing on two dice is 8, given that at least one die does not show five.

Two die are rolled . A is the event that the sum of the numbers shown on the two dice is 5.B is the event that at least one of the dice shows up a 3. are the two events A and B (i) mutually exclusive , (ii) exhaustive ? Give arguments in support of your answer .

Find the probability of obtaining a sum 8 in a single throw of two dice.

Find the probability of getting the sum of numbers on two dice (i) 9 (ii) at least 9, in one throw of a pair of dice.

Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is : (i) 8

Consider the experiment of throwing a die, if a multiple of 3 comes up throw the die again and if any other number comes toss a coin. Find the conditional probability of the event the coin shows a tail, given that at least one die shows a 2.

Consider the experiment of throwing a die. if a multiple of 3 comes tip. throw the die again and if any other number comes, toss a coin Find the conditional probability of the event the coin shows a tail, given that at least one die shows a 3.

Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is : (ii) 13

Two dice (each bearing numbers 1 to 6) are rolled together. Find the probability that the sum of the numbers on the upper-most faces of two dice is : (ii) 7, 8 or 9.

Two dice (each bearing numbers 1 to 6) are rolled together. Find the probability that the sum of the numbers on the upper-most faces of two dice is : (iii) between 5 and 8.

Two different dice are thrown simultaneously. What is the probability that the sum of two number appearing on the top of dice is. (i) 9 (ii) 10 (iii) at least 10 (iv) 13 (v) less than or equal 12 (vi) a multiple of 2 on one die and a multiple of 3 on the other die ?