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Probability Problem Set 1

1. One die of red colour, one of white colour and one of blue colour are placed in a bag. One die is selected at random and rolled, its colour and the number on its uppermost face is noticed. Describe the sample space.

2. In a single throw of two dice, what is the probability of getting (i) a sum of 9 or 11 (ii) a total of almost 9

3. Tickets numbered from 1 to 20 are mixed up together and then a ticket is drawn at random. What is the probability that the ticket has a number which is a multiple of 3 or 7 ?

4. A coin is tossed 11 times. A captain call ‘tails’ all the time. Find the probability that the captain wins the toss atleast once ( given that the captain is not ‘Virat Kohli’ )

5. A word consists of 9 letters- 4 consonants and 5 vowels. Three letters are chosen at random. Find the probability that more than one vowel is consonant.

6. The letters of the word ‘SOCIETY’ are placed at random in a row. What is the probability that three vowels come together?

7. A five digit number is formed from the digits 1,2,3,4,5,7 without repetition. Find the probability that the number is divisible by 4

8.If 3 books of Mathematics and 4 books of Physics are kept on a shelf, what are the chances that all the mathematics books are kept together ?


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