RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 24. Probability

Subject: Maths - Class 8th

Q. No. 10 of Exercise 24A

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10

A box contains 19 balls bearing numbers 1, 2, 3 ..., 19 respectively. A ball is drawn at random from the box. Find the probability that the number on the ball is (i) a prime number (ii) an even number (iii) a number divisible by 3.

(i) Total number of ball bearings = 19


Chances of drawing a prime numbered ball = 9 (They are 2,3,5,7,11,13,17,19)


Probability P() =


Probability of drawing a prime numbered ball bearing P(prime ball)


= =


(ii) Total number of ball bearings = 19


Chances of drawing an even numbered ball = 9 (They are 2,4,6,8,10,12,14,16,18)


Probability P() =


Probability of drawing an even numbered ball bearing P(even ball)


= =


(iii) Total number of ball bearings = 19


Chances of drawing a numbered ball which is divisible by 3 =6 (They are 3,6,9,12,15,18)


Probability P() =


Probability of drawing a numbered ball bearing which is divisible by 3 P(ball divisible by 3)


= =


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