1. 12 balls are distributed among 3 boxes,find the probability that the first box will contain 3 balls?

2. Find the probability that that birthdays of six different persons will fall in exactly 2 calender months?

3. A die is rolled thrice,find the probability of getting a larger number each time then the previous number.

4. If the letters of word “ATTRACTION” are written down at random,find probability that:a.) All T’s occur togetherb.) No two T’s occur together.

5. T wo integers are selected at random from 1 to 11.If the sum is even find the probability that both numbers are odd.

6. A bag contains 5 white,7 red and 3 black balls.If three balls are drawn one by one without replacement,find probability that none is red.

7. In a hostel 60% of students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English. A student is selected at random: a.) Find the probability that he reads neither Hindi nor English news.b.) If he reads Hindi news,find the probability that he reads English

newspaper.c.) If he reads English news,find the probability that he reads hindi news.

8. A coin is tossed,then a die is thrown.Find the probability of obtaining a 6 given head came up.

9. Two balls are drawn from a bag containing 2 white, 3 red, 4black balls one by one without replacement.What is probability that at least one ball is red?

10. A bag A contains 5 white and 6 black balls.Another bag B contains 4 white and 3 black balls.A ball is transferres from bag A to B and then a ball is taken out of bag B.Find the probability that ball is black.