Question

bryson hopes to win a three-day vacation in a drawing that is being held at his office. he purchased 40 raffle tickets. there were 500 raffle tickets sold. what is the theoretical probability of bryson winning the trip?\
\\(\frac{2}{25}\\)\
\\(\frac{1}{5}\\)\
\\(\frac{4}{5}\\)\
\\(\frac{500}{40}\\)

Explanation:

Step1: Define probability formula

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

Step2: Substitute given values

Favorable outcomes = 40 (Bryson's tickets), total outcomes = 500 (total tickets)
Expression: $\frac{40}{500}$

Step3: Simplify the fraction

Divide numerator and denominator by 20: $\frac{40\div20}{500\div20} = \frac{2}{25}$

Answer:

$\frac{2}{25}$ (Option A)