Q30 of 53 Page 15

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1,2,3,4,5,6,7,8, and these are equally likely outcomes. What is the probability that it will point at

(i) 8?


(ii) an odd number?


(iii) a number greater than 2?


(iv) a number less than 9?

(i) Number of times 8 comes = 1


P(8) =


(ii) Number of Favourable outcomes = 1, 3, 5, 7 = 4


P(an odd number) =


(iii) Number of Favourable Outcomes = 3, 4, 5, 6, 7, 8 = 6


P(a number greater than 2) =


(iv) Number of Favourable Outcomes = 1, 2, 3, 4, 5, 6, 7, 8 = 8


P(a number less than 9) = 1


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A bag contains 4 white ball, 6 red balls, 7 black balls and 3 blue balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is

(i) white


(ii) not black


(iii) neither white nor black

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A bag contains 8 red,6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the ball is drawn is :

(a) Red or white


(b) Not black


(c) Neither white Nor black

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A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears (i) a two-digit number (ii) a perfect square number (iii) a number divisible by 5.

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A die is numbered in such a way that its faces show the numbers 1,2,2,3,3,6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws:

Number in first throw



What is the probability that the total score is


(i) even (ii) 6? (iii) at least 6?