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

To find the number of tickets Meena bought, we need to understand the relationship between probability and the number of events. The probability of an event is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Meena's probability of winning the first prize is given as \(0.08\), and the total number of tickets sold is \(800\). Meena's probability of winning can also be expressed as the ratio of the number of tickets bought by her to the total number of tickets sold. Thus, we have:

\(\text{Probability} = \frac{\text{Number of tickets bought by Meena}}{\text{Total tickets sold}}\)

Substitute the known values:

\(0.08 = \frac{\text{Number of tickets bought by Meena}}{800}\)

To find the number of tickets bought by Meena, solve the equation:

\(\text{Number of tickets bought by Meena} = 0.08 \times 800\)

Calculating this gives:

\(\text{Number of tickets bought by Meena} = 64\)

Therefore, Meena bought 64 tickets.

This matches the correct answer: \(64\).