# 20 Cards Are Numbered from 1 to 20. One Card is Drawn at Random. What is the Probability that the Number on the Cards Is Not a Multiple of 4? - Mathematics

20 cards are numbered from 1 to 20. One card is drawn at random. What is the probability that the number on the cards is not a multiple of 4?

#### Solution

Clearly, the sample space is given by S = {1, 2, 3, 4, 5........19, 20}.
i.e. n(S) = 20

Let E2 = event of getting a non-multiple of 4
Then P(non-multiple of 4) = P(E2) = 1 - P(multiple of 4)

$1 - \frac{1}{4} = \frac{3}{4}$

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.3 | Q 33.2 | Page 47