# The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is - Mathematics

MCQ

The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is

• 4/15

• 2/15

• 1/5

• 1/3

#### Solution

Total number of outcomes = 15.

Out of the given numbers, multiples of 4 are 4, 8 and 12.

Numbers of favourable outcomes = 3.

∴ P(getting a multiple of 4) = ("Number of favourable outcomes")/"Number of all possible outcomes"

= 3/15 = 1/5

Thus, the probability that a number selected is a multiple of 4 is 1/5.

Hence, the correct answer is option (c).

Concept: Concept Or Properties of Probability
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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 15 Probability
Multiple choice Questions | Q 7 | Page 706