Question

Meena calculates that the probability of her winning the first prize in a lottery is $0.08$. If total $800$ tickets were sold, the number of tickets bought by her, is

• A. $64$
• B. $640$
• C. $100$
• D. $10$

Hint:

To multiply a decimal by a multiple of 100, move the decimal point two places to the right and multiply by the remaining single digit:
\[ 0.08 \times 800 = 8 \times 8 = 64 \]

Answer 1

The Correct Option is A

Step 1: Write the probability as a simple fraction.
$0.08 = \frac{8}{100} = \frac{2}{25}$.
Step 2: Apply this fraction to the total tickets.
The number of tickets Meena bought is this fraction of the total: $\frac{2}{25} \times 800$.
Step 3: Simplify.
$800 \div 25 = 32$, so the number of tickets is $2 \times 32 = 64$.
\[ \boxed{64} \]