Question

sam bought 2 lottery tickets at school to win the big prize, a surf board. there were 800 tickets sold and the selection is random. what is the probability that he will win? 25% 2% 0.2% 0.25%

Explanation:

Step1: Recall the probability formula

Probability \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \). Here, the number of favorable outcomes (Sam's tickets) is \( 2 \), and the total number of outcomes (total tickets) is \( 800 \).

Step2: Calculate the probability

\( P=\frac{2}{800}=\frac{1}{400} \).

Step3: Convert to percentage

To convert \( \frac{1}{400} \) to a percentage, use the formula \( \text{Percentage}=\frac{1}{400}\times100\% \).
\( \frac{1}{400}\times100\% = 0.25\% \)

Answer:

\( 0.25\% \)