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: Rewrite the probability as a reduced fraction instead of a decimal.
$0.08 = \frac{8}{100} = \frac{2}{25}$.
Step 2: Apply this fraction to the total tickets. \[ \text{Tickets bought} = \frac{2}{25} \times 800 \]
Step 3: Simplify by cancelling 25 into 800 first. \[ \frac{800}{25} = 32, \quad \text{so tickets} = 2 \times 32 = 64 \]
\[ \boxed{64} \]