I am just wondering if anyone can help with this question:
A radio station held a competition where contestants were invited to pick a number from $1$ to $50$. If a contestant picked the ‘winning’ number they won a trip to Vegas. The station picked a new ‘winning’ number at random each time a new contestant played the game. The radio station allowed ﬁve contestants to play every day over the course of one week.
- Compute the probability that the station will have to pay out for exactly one Vegas trip.
I know that there will be 35 people in total who will guess the number but can the 'winning' number be reused or is it without replacement?