The specific rules of the lottery, governing the number and distribution of prizes, dictate whether all, some, or no participants win. The outcome is determined by the lottery's design.
In a lottery with n coupons and n participants, the outcome is determined by the rules of the lottery. Each participant holds a unique coupon, and the options (a), (b), (c), and (d) represent different possible scenarios:
a) If all participants will win, it implies that each coupon corresponds to a prize. In this case, every participant is guaranteed a win, making the lottery a form of distribution where everyone receives a reward.
b) If only one participant will win, it suggests a traditional lottery system where only one coupon out of the n is selected as the winning ticket. The probability of winning is low for each individual, and luck plays a significant role.
c) Some participants may win if there are multiple prizes but not enough for everyone. In this scenario, a subset of participants will be lucky enough to secure a win, while others may not.
d) If no participants will win, it implies a situation where there are no winning coupons or prizes assigned, making the lottery essentially void of any rewards.
The specific rules of the lottery, such as the number of prizes and how they are distributed, determine which scenario (a), (b), (c), or (d) will unfold.