Alfonso and Colin each bought one raffle ticket at the state fair. If 50 tickets were randomly sold, what is the probability that Alfonso got ticket 14 and Colin got ticket 23?
The answer should be which presumably comes from . But it seems that the order does not count. I did not assume that Alfonso got ticket 14 first then Colin got ticket 23 second.
Update: What is wrong with this reasoning. When I said that I did not assume order, I meant that it's possible
1. Alfonso got ticket 14 first, then Colin got ticket 23,
2. Colin got ticket 23 first, then Alfonso got ticket 14.
Both of these possibilities are possible before the tickets are given out, so we can make an 'or' statement. Label the event Alfonso got ticket 14 by and Colin got ticket 23 by . Then by the addition rule
I realize that once the tickets are sold, then only one of must occur, but before the tickets are sold both possibilities are plausible. Why would the probability change before and after the tickets are sold.