单选题
Prizes will be randomly awarded to three different people in a room of 50 people. If you are one of these people, what is the probability that you will win one of the prizes?
【正确答案】
E
【答案解析】The easiest way to solve a problem like this is to compute the probability that you do not win a prize. The likelihood that the first prize goes to one of the other 49 people in the room is 
. After that person has gotten a prize (and is no longer eligible for another), you will not get the second prize if it is awarded to any of the 48 other people left in contention, with a likelihood of 
. Similarly, the likelihood that you would then not win the third prize is 
. The likelihood that you do not win anything is thus 
. After that person has gotten a prize (and is no longer eligible for another), you will not get the second prize if it is awarded to any of the 48 other people left in contention, with a likelihood of . Similarly, the likelihood that you would then not win the third prize is . The likelihood that you do not win anything is thus