Question

Any help would be greatly appreciated.

There are 300 raffle tickets.


The prizes are as follows:


First prize - voucher for meal at local restaurant

Second prize - food hamper

Third prize - chocolate cake

4x homemade jams

3x homemade pickles


A prize is won after the first raffle ticket is drawn.


What is the probability of winning a prize when the next ticket is drawn?

Answer 1

Answer: 0.007

Explanation:

Suppose that you have a ticket.

We have 3 prizes, and 300 tickets.

After the first tiket is drawn, someone win a prize, so now we have 299 tikets left and 2 prizes left.

Then, for the next draw, you have p = 1/299 of wining a prize.

If you did not win there, the probability for the third price is p = 1/298 (because there are 2 less tickets now)

Then the probability of winning at least one prize is:

P = 1/299 + 1/298 = 0.007