What is the probability that a number selected from the numbers $ 1,2,3, \ldots, 15 $ is a multiple of 4?
Given:
Numbers \( 1,2,3, \ldots, 15 \) are given.
To do:
We have to find the probability that a number selected from the numbers \( 1,2,3, \ldots, 15 \) is a multiple of 4.
Solution:
Numbers \( 1,2,3, \ldots, 15 \) are given.
This implies,
The total number of possible outcomes $n=15$.
Multiples of 4 from 1 to 15 are 4, 8 and 12.
Total number of favourable outcomes $=3$.
We know that,
Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$
Therefore,
Probability that a number selected from the numbers \( 1,2,3, \ldots, 15 \) is a multiple of 4 $=\frac{3}{15}$
$=\frac{1}{5}$
The probability that a number selected from the numbers $1, 2, 3, ........, 15$ is a multiple of 4 is $\frac{1}{5}$.
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