Question

suppose there is a weekly raffle with 500 tickets sold each week. you play every week for a year (52 weeks) and buy one ticket each time.
a. if you win only three times, what was your experimental probability of winning the weekly raffle?
b. what was your theoretical probability of winning each weekly raffle?
a. if you win only three times, your experimental probability of winning the weekly raffle was approximately %. (round to the nearest whole number as needed.)

Explanation:

Step1: Calculate experimental probability

Experimental probability = $\frac{\text{Number of wins}}{\text{Total number of trials}}$. Here, number of wins = 3 and total number of trials = 52. So, experimental probability = $\frac{3}{52}$.

Step2: Convert to percentage

To convert the fraction to a percentage, multiply by 100. So, $\frac{3}{52}\times100=\frac{300}{52}\approx 6$.

Step3: Calculate theoretical probability

Theoretical probability of winning each week = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Since you buy 1 ticket and there are 500 tickets sold each week, theoretical probability = $\frac{1}{500}= 0.002$ or 0.2% in percentage form.

Answer:

a. 6%
b. 0.2%