1.

A box contains 19 balls bearing numbers 1,2,3,…., 19. A ball is drawn at random from the box. Find 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»

(i) Possible Outcomes: 2,3,5,7,11,13,17,19

P(a prime number) = 8/19

(ii) Possible Outcomes: 3,5,6,9,12,15,10,18

P(divisible by 3 or 5) = 8/19

(iii) Possible Outcomes: 1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19

P(neither divisible by 5 nor by 10) = 16/19

(iv) Possible Outcomes: 2,4,6,8,10,12,14,16,18

P(an even number) = 9/19



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