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Question

A box contains card numbered from 11 to 123 . A card is drawn at random from the box . Find the probability of that is a
1. A square no.
2. A multiple of 5

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Solution

Square numbers from 11 to 123
= 16, 25, 36, 49, 64, 81, 100 and 121

Total square number from 11 to 123 = 8

Total cards numbered from 11 to 123 = 113

i) P(a square number) = 8/113

Multiples of 5 from 11 to 123
= 15, 20, 25,30, 35, 40, 45, 50,55,60,65,70,75,80,85,90,95,100,105,110,115,120.

Total multiples of 5 from 11 to 123 = 22.

ii) P(a multiple of 5) = 22/113.

Hope it helps
All the best.

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