A box contains 19 balls bearing numbers 1,2,3,....19. A ball is drawn

1.	A box contains 19 balls bearing numbers 1,2,3,....19. A ball is drawn at random from the box. What is the probability that the number on the ball is(i) A prime number ? (ii) Divisible by 3 or 5? (iii) Neither divisible by 5 nor by 10? (iv) An even number?
Answer» The correct option is: (C) Explanation: Total number of possible outcomes = 19 (i) Prime numbers are 2, 3, 5,7 , 11, 13, 17 , 19. .'. Probability of numbers being prime = 8/19 (ii) Numbers divisible by 3 or 5 are 3, 5, 6, 9, 10, 12, 15, 18. .'. Required probability = 8/19 (iii) Numbers neither divisible by 5 nor by 10 are 1 , 2, 3, 4,6, 7, 8, 9, 11 , 12, 13, 14, ,16, 17 , 18, 19. .'. Required probability = 16/19 (iv) Even numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18. .'. Required probability = 9/19

A box contains 19 balls bearing numbers 1,2,3,....19. A ball is drawn at random from the box. What is the probability that the number on the ball is(i) A prime number ? (ii) Divisible by 3 or 5? (iii) Neither divisible by 5 nor by 10? (iv) An even number?

Answer»

The correct option is: (C)

Explanation:

Total number of possible outcomes = 19

(i) Prime numbers are 2, 3, 5,7 , 11, 13, 17 , 19.

.'. Probability of numbers being prime = 8/19

(ii) Numbers divisible by 3 or 5 are 3, 5, 6, 9, 10, 12, 15, 18.

.'. Required probability = 8/19

(iii) Numbers neither divisible by 5 nor by 10 are 1 , 2, 3, 4,6, 7, 8, 9, 11 , 12, 13, 14, ,16, 17 , 18, 19.

.'. Required probability = 16/19

(iv) Even numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18.

.'. Required probability = 9/19

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