22. A raffle game has a single grand prize that will be drawn randomly from among all the tickets. A total of 500 tickets are sold. If a man buys 25 tickets, what is the probability that he will win the grand prize? \( \begin{array}{l}\text { a. } 1 \text { in } 2 \\ \text { b. } 1 \text { in } 5 \\ \text { c. } 1 \text { in } 10 \\ \text { d. } 1 \text { in } 20 \\ \text { e. } 1 \text { in } 40\end{array} \)

To find the probability that the man will win the grand prize, you can use the formula for probability, which is the number of favorable outcomes divided by the total number of outcomes. In this case, the man has 25 tickets (favorable outcomes) out of 500 total tickets (total outcomes). The probability, P, can be calculated as: \[ P = \frac{25}{500} = \frac{1}{20} \] Thus, the answer is \( 1 \text{ in } 20 \) (d). Raffles and lotteries have an interesting historical background. They date back to ancient China, where they were used to fund government projects, like the Great Wall. Fast forward to modern times, and lotteries are now employed worldwide for a variety of fundraising purposes, including education, disaster relief, and public welfare. When participating in games of chance like raffles, it's important to remember that the odds are often against individual players. Many people mistakenly believe that buying more tickets significantly increases their chance of winning; while it's true that more tickets do increase the chance, the improvement is often minimal in larger draws. Always play responsibly and remember: it's more about the fun than winning!