PROBABILITY PROBLEMS ON DICE WORKSHEET

Problem 1 :

Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is

(i) 6      (ii) 12       (iii) 7

Solution

Problem 2 :

Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is less than 9.

Solution

Problem 3 :

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

Solution

Problem 4 :

Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two dice is 2.

Solution

Problem 5 :

Two dice are thrown at the same time. Find the probability of getting (i) same number on both dice (ii) different numbers on both dice.

Solution

Problem 6 :

Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is

(i) 7?    (ii) a prime number?   (iii) 1?

Solution

Problem 7:

Two dice are thrown simultaneously. Find the probability of getting

a. An even number on first dice

b. An odd number on first dice

c. An even number as the sum

d. A multiple of 5 as the sum

e. A multiple of 7 as the sum

f. A multiple of 3 as the sum

g. A sum more then 7

h. A sum greater than 9

Solution