The scenario is: One thousand raffle tickets are sold. There is a grand prize of \$300, 3 second prizes of \$100, and 6 third prizes of \$50. A person purchased one raffle ticket. Find the probability that the person wins at least \$100.
I am thinking that let X denote the amount of money the person wins from the raffle. I am interested in finding $P(X \geq 100)$ (if I am correct). Since the person only buys one raffle, then this turns out to be the probability the person wins either the grand prize or the second prize category, not the third prize because even if the person won that prize, he or she could only win at most 50$. Therefore, the probability I am looking at is (1/1000) + (2/1000); this is incorrect. I am not sure why.
Thank you!
This is where you made a mistake: How many \$100 prizes are there? What's the probability of winning one?