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 greater than 85.

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 15 numbers which are greater than 85 i.e. {86, 87, ......, 98, 99, 100}

Favorable number of events = n(E) = 15 

Probabilty of selecting a card with a number greater than 85

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

= `15/100`

= `3/20`