Question

There are 50 tickets in a raffle bag, and 10 of the tickets belong to Gary. A ticket is chosen at random, and the ticket owner's name is read. The ticket is mixed back into the bag. Another ticket is chosen, and the ticket owner's name is read.
What is the probability that Gary's name was read both times?
Write your answer as a percent.
PLEASE HELP :/

Answer 1

The probability of it happening once is 1/5, since 10/50 simplifies to 1/5. Because the ticket goes back in the bag, the probability stays constant at 1/5.

For it to happen twice, you multiply the probability of it happening once, twice.

1/5 • 1/5 = 1/25 probability of it being Gary's name twice in a row.