Probability Ques 34

Question-

There are 140 tickets (numbered 1 to 140) in a bowl. Find the probability of choosing a ticket which bears multiple of either 3 or 7.

(1) $\frac{4}{7}$

(2) $\frac{5}{7}$

(3) $\frac{3}{49}$

(4) $\frac{6}{7}$

(5) $\frac{3}{7}$

IBPS RRBs Officer CWE (Prelim Exam)

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Correct Answer: (5)

Solution: (5)

From 1 to 140 :

Number of multiples of $3 \Rightarrow 46$

Number of multiples of $7 \Rightarrow 20$

Number of multiples of $21 \Rightarrow 6$

$\therefore \quad$ Number of multiples of 3 or

$7=46+20-6=60$

$\therefore$ Required probability $=\frac{60}{140}=\frac{3}{7}$