Question

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 prime number less than 15​

Answer 1

Answer:

i) Number of two-digit number =90−9=81, Total number =90

Probability of being a two-digit number =

90

81

ii) Since there are 9 perfect square numbers such that 1,4,9,16,25,36,49,64,81

Probability of being a perfect square =

90

9

=

10

1

iii) Since there are 12 numbers divisible of 7 such that 7,14,21,28,35,42,49,56,63,70,77,84

Probability of being a perfect square =

90

12

=

15

2

Step-by-step explanation:

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