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:

Think of probability as a percentage. \(0.08\) is simply \(8\%\). Finding \(8\%\) of \(800\) gives \(64\) instantly.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
Probability of an event occurring is the ratio of the number of favorable outcomes to the total number of possible outcomes.
Step 2: Key Formula or Approach:
\[ P(\text{Winning}) = \frac{\text{Number of tickets bought}}{\text{Total number of tickets sold}} \]
Step 3: Detailed Explanation:
Given:
Probability of winning \(P(E) = 0.08\)
Total tickets sold = \(800\)
Let the number of tickets bought by Meena be \(x\).
\[ 0.08 = \frac{x}{800} \]
Multiply both sides by \(800\):
\[ x = 0.08 \times 800 \]
\[ x = \frac{8}{100} \times 800 \]
\[ x = 8 \times 8 = 64 \]
Step 4: Final Answer:
The number of tickets bought by her is \(64\).