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Question

A box contains 90 discs which are numbered from 1to90. If one disc is drawn at random from the box, find the probability that it bears a two-digit number


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Solution

Step 1: Find the total number of outcomes and favorable number of outcomes

The total number of discs=90

Since, 1 to 9 are single digit numbers.

So, total 2 digit numbers are 90-9=81

Total number of discs having two-digit numbers=81

Step 2: Find the required probability using the classical definition of probability

P(E)=NumberoffavourableoutcomesTotalnumberofoutcomes

P(bearingatwodigitnumber)=8190=910=0.9

Hence, the probability of getting a two-digit number is 0.9


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