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
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
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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:
\[ 0.08 \times 800 = 8 \times 8 = 64 \]
\[ 0.08 \times 800 = 8 \times 8 = 64 \]
Updated On: Jul 22, 2026
- $64$
- $640$
- $100$
- $10$
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Question:
We are given that the probability of Meena winning the first prize in a lottery is $0.08$.
The total number of tickets sold in this lottery is $800$.
We need to find how many tickets Meena must have bought to have this probability of winning.
Step 2: Key Formula or Approach:
The probability of winning the first prize is defined as the ratio of the number of tickets bought by Meena to the total number of lottery tickets sold:
\[ P(\text{Winning}) = \frac{\text{Number of tickets bought}}{\text{Total tickets sold}} \]
We can rearrange this formula to solve for the number of tickets bought:
\[ \text{Number of tickets bought} = P(\text{Winning}) \times \text{Total tickets sold} \]
Step 3: Detailed Explanation:
• Let the number of tickets bought by Meena be $x$.
• Write down the given parameters:
Total tickets sold $= 800$
Probability of winning, $P(\text{Winning}) = 0.08$
• Set up the probability equation:
\[ 0.08 = \frac{x}{800} \]
• Solve for $x$:
\[ x = 0.08 \times 800 \]
\[ x = \frac{8}{100} \times 800 \]
\[ x = 8 \times 8 = 64 \]
Step 4: Final Answer:
The number of tickets bought by Meena is $64$.
We are given that the probability of Meena winning the first prize in a lottery is $0.08$.
The total number of tickets sold in this lottery is $800$.
We need to find how many tickets Meena must have bought to have this probability of winning.
Step 2: Key Formula or Approach:
The probability of winning the first prize is defined as the ratio of the number of tickets bought by Meena to the total number of lottery tickets sold:
\[ P(\text{Winning}) = \frac{\text{Number of tickets bought}}{\text{Total tickets sold}} \]
We can rearrange this formula to solve for the number of tickets bought:
\[ \text{Number of tickets bought} = P(\text{Winning}) \times \text{Total tickets sold} \]
Step 3: Detailed Explanation:
• Let the number of tickets bought by Meena be $x$.
• Write down the given parameters:
Total tickets sold $= 800$
Probability of winning, $P(\text{Winning}) = 0.08$
• Set up the probability equation:
\[ 0.08 = \frac{x}{800} \]
• Solve for $x$:
\[ x = 0.08 \times 800 \]
\[ x = \frac{8}{100} \times 800 \]
\[ x = 8 \times 8 = 64 \]
Step 4: Final Answer:
The number of tickets bought by Meena is $64$.
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