Question

One lottery ticket is drawn at random from a bag containing $20$ tickets numbered from $1$ to $20$. Find the probability that the number drawn is divisible by $3$ or $5$:

• A. $\frac{6}{20}$
• B. $\frac{7}{20}$
• C. $\frac{8}{20}$
• D. $\frac{9}{20}$

Answer 1

Answer: (D)

$\frac{9}{20}$

Sample space $=20$
no obtained is either divisible by $3$ or $5=(3,5,6,9,10,12,15,18,20)=9$
Probability of the event $=\frac{9}{20}$