Question

There are five friends and they want to play some interesting game . Firstly they
consider some cards and marked with the numbers 2 to 101 are placed in a box
and mixed throughly . One card is drawn from the box
( a ) Find the probability that the drawn on the card is an even number
(b) Find the probability that the drawn on the card is a number less than 14
(c) Find the probability that the drawn on the card is a number which is a perfect square .
(d)Find the probability that the drawn on the card is a prime number
and it is less than 20 .
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Answer 1

Answer:

1)Number on cards are 2 to 101

Even number are 2,4,6,..,100=50

Probability that it's an even number =50/100=1/2

2)Numbers less than 14 are 2,3,4,5,6,7,8,9,10,11,12,13=12

Probability=12/100=3/25

3) Perfect square are=4,9,16,25,36,49,64,81,100=9

Probability=9/100

4) Prime number less than 20 are 2,3,5,7,11,13,17,19=8

Probability=8/100=2/25