Artificial intelligent assistant

Calculate Probability of Winning Draw If there is a draw each month with 3 prizes, a entrant can only win one of the prizes each month but all entrants will be in the next months draw. There are 120 entrants. What is the probability of winning 1 prize in the year? What process would I go through to answer this question?

You can use the inverse probability: You can calculate the probability that an entrant doesn't win a prize in $12$ months. The probability is: $$\frac {119^{12}}{120^{12}}\cdot \frac {118^{12}}{119^{12}}\cdot \frac {117^{12}}{118^{12}}$$ and then you can use the inverse probability $$1-\frac {119^{12}}{120^{12}}\cdot \frac {118^{12}}{119^{12}}\cdot \frac {117^{12}}{118^{12}}$$. Indeed the probability that an entrant doesn't win a prize in a draw is:$$\frac {119}{120}\cdot \frac {118}{119}\cdot \frac {117}{118}$$ The my first answer was wrong but this I think be right

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