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### Arithmetic Aptitude :: Probability

1. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

2.  A. $$\frac { 1 } { 2 }$$ B. $$\frac { 2 } { 5 }$$ C. $$\frac { 8 } {15 }$$ D. $$\frac { 9 } { 20 }$$

3. A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

4.  A. $$\frac { 10 } { 2 1}$$ B. $$\frac { 11 } { 2 1}$$ C. $$\frac { 2} { 7 }$$ D. $$\frac { 5} { 7 }$$

5.  In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
6.  A. $$\frac { 1 } { 3 }$$ B. $$\frac { 3 } {4 }$$ C. $$\frac { 7 } {19 }$$ D. $$\frac {8 } { 21 }$$ E. $$\frac {9 } { 21 }$$

7. What is the probability of getting a sum 9 from two throws of a dice?

8.  A. $$\frac { 1 } { 6 }$$ B. $$\frac { 1 } { 8 }$$ C. $$\frac { 1 } { 9 }$$ D. $$\frac { 1 } { 12 }$$

9. Three unbiased coins are tossed. What is the probability of getting at most two heads?

10.  A. $$\frac { 3 } {4}$$ B. $$\frac { 1 } {4}$$ C. $$\frac { 3 } {8}$$ D. $$\frac { 7 } {8}$$

11. Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

12.  A. $$\frac { 1 } { 2 }$$ B. $$\frac { 3 } { 4 }$$ C. $$\frac { 3 } { 8 }$$ D. $$\frac { 5 } { 16 }$$

13. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

14.  A. $$\frac { 21 } { 46 }$$ B. $$\frac { 25 } { 117 }$$ C. $$\frac { 1 } { 50}$$ D. $$\frac { 3 } { 25 }$$

15. In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

16.  A. $$\frac { 1 } { 10 }$$ B. $$\frac { 2 } {5}$$ C. $$\frac { 2 } {7}$$ D. $$\frac { 5 } {7}$$

17. From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

18.  A. $$\frac { 1 } { 15 }$$ B. $$\frac { 25 } { 57 }$$ C. $$\frac { 35 } { 256 }$$ D. $$\frac { 1 } { 221 }$$

19. Two dice are tossed. The probability that the total score is a prime number is:

20.  A. $$\frac { 1 } { 6 }$$ B. $$\frac { 5 } { 12 }$$ C. $$\frac { 1 } { 2 }$$ D. $$\frac { 7 } { 9}$$