7. Two unbiased dice are rolled. Find the probability of getting sum of the upper faces
a) greater than 9
b) less than 5
8. Two unbiased dice are rolled. Find the probability of getting score on both the dice
a) a doublet
b) score on second dice greater than first.
9. Two unbiased dice are rolled. Find the probability of getting score on both the dice
a) differ by 1
b) score on second dice is 4
10. Two unbiased dice are rolled. Find the probability of getting sum of the upper faces
a) a two digit number
b) more than 12
11. Two unbiased dice are rolled. Find the probability of getting
a) the sum of the numbers appearing on top of the two dice is 6
b) the number appearing on the top of both dice being same.
12. Two unbiased dice are rolled. Find the probability of getting sum of the upper faces
a) less than 4
b) more than 10.
13. A box contains 6 white balls, 4 black balls and 3 red balls .one ball is drawn at random, find the probability that
a) it is red
b) it is not white
14. A box contains 6 red balls, 4 white balls and 3 yellow one ball is drawn at random, find the probability that
a) it is red or yellow
b) it is white
15. A box contains 6 red marbles, 5 white marbles and 2 black marbles one marble is drawn at random, find the probability that
a) it is red or black
b) it is green
Answers
Answer:
b) it is white a) it is red or yellow
Given : Two unbiased dice are rolled.
To Find : probability of getting sum of the upper faces
a) greater than 9
b) less than 5
Solution:
there are 6 possible outcomes of 1 dice
Hence 6 * 6 = 36 possible outcomes when two dice are rolled
Sum greater than 9 can be 10 , 11 or 12
{4 , 6} , {5, 5 } , { 6 , 4} , { 5 , 6} , { 6 , 5} , { 6 , 6}
There are 6 favorable outcomes
Hence P ( sum greater than 9) = 6/36 = 1/6
Sum less than 5 can be 2 , 3 , 4
{ 1 , 1} , {1 , 2} , {2 , 1} , { 1, 3 } , { 2 , 2} , { 3 , 1}
There are 6 favorable outcomes
Hence P (Sum less than 5) = 6/36 = 1/6
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