Question

Hundred identical cards are numbered from 1 to 100. The cards are well shuffled and then a card is drawn. Find the probability that the number on the card drawn is between 40 and 60.

Answer 1

There are 100 cards from which one card is drawn. 

Total number of elementary events = n(S) = 100   

From numbers 1 to 100, there are 19 numbers which are between 40 and 60 i.e. {41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59} 

Favorable number of events = n(E) = 19 

Probability of selecting a card between 40 and 60 

= `(n(E))/(n(S))`

= `19/100`