Teasers for this year

Things are moving along. I have a provisional process to get going in 3 weeks and I’ve sent out the initial signup forms.

Some of the challenges so far:

• Pickup policy.  Without any backup I’m having parents give permission for everyone to self-release.
• Fees.  Its harder to collect money under the new structure. I still have to check on the reimbursement process as well.
• Gender Balance - this is looking promising so far this year. I’ll see when the actual signups start coming in. 
• Age balance - Initially I’m seeing most of the interest come from 6th and 8th graders.  If that turns out to be the final split its going a bit more difficult planning-wise. I’m already starting to think about how to directly deal with getting kids to work with / respect younger/older peers.

Here are my teaser problems for this year.

There are 100 people in line to board a plane with 100 seats. The first person has lost their boarding pass, so they take a random seat. Everyone that follows takes their assigned seat if it’s available, but otherwise takes a random unoccupied seat. What is the probability the last passenger ends up in their assigned seat?