One number is chosen randomly from the integers 1 to 50. The prob… - Vidyadip

MCQ

One number is chosen randomly from the integers $1$ to $50$. The probability that it is divisible by $4$ or $6$ is :

A
$\frac{6}{25}$
B
$\frac{2}{25}$
✓
$\frac{8}{25}$
D
$\frac{4}{25}$

✓

Answer

Correct option: C.

$\frac{8}{25}$

numbers divisible by $4 = \{4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48\}$
Numbers divisible by $6 = \{6, 12, 18, 24, 30, 36, 42, 48\}$
Number of possible outcomes $= \{4, 6, 8, 12, 16, 18, 20, 24, 28, 30, 32, 36, 40, 42, 44, 48\} = 16$
Number of Total outcomes $= 50$
$\therefore$ Required Probability $=\frac{16}{50}=\frac{8}{25}$

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