Question

a book contains 100 pages. A page is chosen at random . what is probability that the sum of digits on the page is equal to 9?

Answer 1

18,27,36,45,54,63,72,81,90,09
probability
10/100or1/10

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Answer 2

The probability that the sum of digits on the page is equal to 9 is 1/10

Given :

• A book contains 100 pages

• A page is chosen at random

To find :

The probability that the sum of digits on the page is equal to 9

Solution :

Step 1 of 3 :

Find total number of possible outcomes

The book contains 100 pages

So total number of possible outcomes = 100

Step 2 of 3 :

Find total number of possible outcomes for the event

Let A be the event that the sum of digits on the page is equal to 9

So the event point for the event A are 9 , 18 , 27 , 36 , 45 , 54 , 63 , 72 , 81 , 90

So total number of possible outcomes for the event A is 10

Step 3 of 3 :

Find the probability

Hence the required probability

= P(A)

$\displaystyle \sf{ = \frac{Number \: of \: favourable \: cases \: to \: the \: event \: A }{Total \: number \: of \: possible \: outcomes }}$

$\displaystyle \sf{ = \frac{10}{100} }$

$\displaystyle \sf{ = \frac{1}{10} }$

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