Hey everyone so for fun I am trying to calculate the odds of getting comic con tickets if using a buying group and how/if the odds change as the buying group gets bigger. I am way out of school and r/statistics doesn't allow questions like this. Looking to come up with the formula.

Here is some background info and assumptions 1. The odds of any one person getting through the queue is 6% 2. Every person who gets through the queue can buy up to 3 tickets. The person through the queue does not need to buy a ticket for themselves. 3. If person x buys a ticket for person y, person y is not removed from the queue and can still buy tickets for persons a, b, and c

Some examples. 1. For a group of 3 only 1 of the people needs to make it through the queue. I think I got it as the odds of getting tickets at 17%. I calculated that based on if someone has 6% chance of getting through the queue they have a 94% of not getting through the queue. So the odds of all 3 people not getting through the queue is .94 x .94 x .94= 0.83 so therefore .17 chance someone made it through.

1. For a group of 5, 2 of the 5 will need to get through. What are the odds

2. For a group of 9, 3 people need to get through