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 either even or square of an integer:

• A. $\frac{1}{4}$
• B. $\frac{4}{5}$
• C. $\frac{3}{5}$
• D. $\frac{1}{5}$

Answer 1

The correct option is C $\frac{3}{5}$

Total no. of lottery tickets$=20$
No. of tickets drawn that are neither square nor an even no. $=(3,5,7,11,13,15,17,19)=8$
So, the no.of tickets drawn are even or square numbered $=20-8=12$
Probability of even or square $=\frac{12}{20}=\frac{3}{5}$