Alicia and her friend are entered in a raffle drawing along with eight other people two names are drawn, one right after the other the same person can’t win twice what is the probability that Alicia and her friend will be the winners
There are a total of 10 people in the raffle, including Alicia and her friend. Therefore, the probability of any one person winning the raffle is 2/10 or 1/5.
Since two names are drawn and one person can't win twice, the probability that Alicia and her friend will be the winners is the same as the probability that Alicia wins and her friend wins second, or the probability that her friend wins and Alicia wins second.
The probability that Alicia wins and her friend wins second is (1/5) * (1/9) = 1/45.
The probability that her friend wins and Alicia wins second is also (1/5) * (1/9) = 1/45.
Therefore, the total probability that Alicia and her friend will be the winners is 1/45 + 1/45 = 2/45 = 1/22.5 ≈ 0.0444 or about 4.44%.