Probability Ques 15

Question-

Find the probability that a number from 1 to 300 is divisible by either 3 or 7 ?

(1) $\frac{37}{75}$

(2) $\frac{32}{75}$

(3) $\frac{36}{75}$

(4) $\frac{28}{75}$

(5) $\frac{26}{75} $

(IBPS Bank PO/MT CWE-VI (Pre Exam), 16.10.2016 (Second Sitting))

Show Answer

Correct Answer: (2)

Solution: (2)

Number of numbers from 1 to 300 divisible by $3=100$

Number of numbers divisible by $7=42$

Number of numbers divisible by 3 and $7=14$

$\therefore$ Favourable outcomes $=100+42-14=128$

$\therefore$ Required probability $=\frac{128}{300}=\frac{32}{75}$