A lottery will be held. From 1000 numbers, one will be randomly chosen as the winner. A lottery ticket is a random number between 1 and 1000 with replacement.
How many tickets do you need to buy for the probability of winning to be at least 50%?
I am having trouble starting this problem and was told to find the probability of no winning tickets out of n tickets.
If there wasn't replacement then the probability would just increase by a thousandth with every new ticket, but I am unsure of how the possibility of buying two tickets that are the same affects the increase in probability from having multiple tickets