If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains ***.kastatic.org** and ***.kasandbox.org** are unblocked.

Main content

Current time:0:00Total duration:2:39

the marching band is holding a raffle at a football game with two prizes after the first ticket is pulled out and the winner determined the ticket is taped to the prize the next ticket is pulled out to determine the winner of the second prize are the two events independent explained now before we even think about this exact case let's think about what it means for events to be independent it means that the outcome of one event doesn't affect the outcome of the other event now in this situation the first event the first event after the first ticket is pulled out in the winner determined the ticket is taped the ticket is taped to the prize then the next ticket is pulled out to determine the winner of the second prize now the winner of the second prize the possible winners the possible outcomes for the second prize is dependent on who is pulled out so that for the first prize you can imagine if if the if there's three tickets let's say there's tickets a B and C in the bag and the first and for the first prize they pull out ticket a they pull out ticket a that's for the first prize for the first prize now when we think about who could be pulled out for the second prize it's only going to be tickets B or C it'll only be tickets B or C now the first prize could have gone the other way it could have been a B and C the first prize could have gone to two ticket B and then the possible outcomes for the second prize would be a would be a or C so the possible outcomes for the second event for the second prize are completely dependent are completely dependent on what happened where what ticket was pulled out from for the first prize so these are not independent events the second event the outcomes for it are dependent on what happened in the first event so they are not they are not independent independent the way that we could have made them independent is after the first ticket was pulled out if they just wrote down the name or something and then put that ticket back in instead they tape through the prize but if they put that ticket back in then the second prize it would still it would still had all the tickets there it wouldn't have mattered who picked out who was picked out in the first time because their name was just written down but their ticket was put back in and then you would have been independent so if you had to replace the ticket you would have been independent but since they didn't replace the ticket they taped it the prize these are not independent events