Question

probability model uniform
sidney bought 5 lottery tickets at school to win
the big prize, a computer. there were 250 tickets
sold and the selection is random.
what is the probability that she will win?
1%
2%
0.2%
0.5%

Explanation:

Step1: Recall probability formula

Probability \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \). Here, number of favorable outcomes (Sidney's tickets) is \( 5 \), total number of outcomes (total tickets) is \( 250 \). So \( P = \frac{5}{250} \).

Step2: Simplify the fraction

Simplify \( \frac{5}{250}=\frac{5\div5}{250\div5}=\frac{1}{50} \).

Step3: Convert fraction to percentage

To convert \( \frac{1}{50} \) to percentage, use \( \frac{1}{50}\times100\% \). \( \frac{1\times100}{50}\% = 2\% \).

Answer:

\( 2\% \)