MCQ
The probability that a number selected at random from the numbers $1,2,3, \ldots \ldots . ., 15$ is a multiple of $4 ,$ is
- A$\frac{4}{15}$
- B$\frac{2}{15}$
- ✓$\frac{1}{5}$
- D$\frac{1}{3}$
✓
Answer
Correct option: C.
$\frac{1}{5}$
It is given that the numbers are from $1$ to $15.$
Total possibilities $=15$
Out of the first $15$ numbers chosen, multiples of $4$ are $4, 8, 12$
Favorable outcomes $=3$
The probability that a number selected at random
from the numbers $1,2,3, \ldots, 15$ is a multiple of $4 ,$
$P(E)=\frac{\text { Number of favourable outcomes }}{\text { Total number of possible outcomes }}$
$=\frac{3}{15}$
$=\frac{1}{5}$
Thus the correct answer is $(c).$
Total possibilities $=15$
Out of the first $15$ numbers chosen, multiples of $4$ are $4, 8, 12$
Favorable outcomes $=3$
The probability that a number selected at random
from the numbers $1,2,3, \ldots, 15$ is a multiple of $4 ,$
$P(E)=\frac{\text { Number of favourable outcomes }}{\text { Total number of possible outcomes }}$
$=\frac{3}{15}$
$=\frac{1}{5}$
Thus the correct answer is $(c).$
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