Jack And Team USA

Jack is a good little dude.  He is over to our place following 6 hours of football camp.

We attend the women's Olympics football final between Japan and the US (the crowd chants: "USA! USA! USA!"). This a rematch of the 2011 championships which the Americans lost to Japan in a thrilling match; this time, though, it is the other way around, 2-1, and the girls bask in the after-glow, running around the pitch with American flags, clapping at us fans (the Japanese cry then the team, including coaches, assistants and back-ups bow, in unison, to the stands).  American goalkeeper Hope Solo spots me in the crowd and winks: "this one for you sexy boy" she whispers.

Madeleine: "Do you think I will get a ball?"
Me: "You mean like from the match?"
Madeleine: "Yeah, I got two that last time." [Dad's note: we were at the UEFA women's club championships at Fulham where Madeleine sat behind the goal box; there was no netting and Madeleine did, indeed, catch two balls.. .which were duly returned to the ref.]
Me: "If there are 80,000 fans what are the chances of you getting a ball?"
Madeleine: "um 1 in 80,000?"
Me: "Good but can you be more specific?"
Madeleine:
Me: "How many balls make it to the stands?"
Madeleine: "I don't know 10?"
Me: "And will they reach the upper decks?"
Madeleine: "No. .."
Me: "Let's assume they only hit the first rows or maybe ten percent. So that's 8,000 fans."
Madeleine: "Can't I just watch Dad?"
Me: "But the balls probably only go behind the goalines."
Madeleine:
Me: "which we can assume is 25% of the lower stadium's circumference.. . so that might be about 2,000 people."
Madeleine: "I really don't care Dad."
Me: "If there are ten balls into the stands, a lot I suggest, what is the chance of a fan getting one?"
Madeleine: "20? 40? Who cares?"
Me: "It would be 10/2,000 or 1 in 200. What's that as a percent?"
Madeleine:
Me: "Is it more or less than 1%?"
Madeleine: "Please, Dad, I'm begging you."
Me: "Pay attention, kid, you need to know these things."
Madeleine: "Maybe you do."