MCQ
The probability that a number selected at random from the numbers 1, 2, 3, ....., 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.
$\frac{1}{5}$
The total number of given numbers is 15.
$\therefore$ Total number of outcomes = 15
Among the given numbers, the multiples of 4 are 4, 8 and 12.
So, the favourable number of outcomes are 3.
$\therefore$ P(number selected is a multiple of 4)
$=\frac{\text{Favourable number of outcomes}}{\text{Total number of outcomes}}$
$=\frac{3}{15}=\frac{1}{5}$
Hence, the correct answer is option c.
$\therefore$ Total number of outcomes = 15
Among the given numbers, the multiples of 4 are 4, 8 and 12.
So, the favourable number of outcomes are 3.
$\therefore$ P(number selected is a multiple of 4)
$=\frac{\text{Favourable number of outcomes}}{\text{Total number of outcomes}}$
$=\frac{3}{15}=\frac{1}{5}$
Hence, the correct answer is option c.
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