Finally got a chance to watch my tape last night. I can’t wait for my dog’s Tuesday night obedience classes to end!
OK, how good is this season so far? The last two legs have been featured the sorts of challenges that I always thought Amazing Race should have. Excrutiating Roadblocks, truly evenly-balanced Detours. Applause! Encore!
From the Leaderboard:
Hayden/Aaron: They seem to have gotten some sleep since the last leg, and got along much better again this week. Whoever their camera team was on this leg REEEEEALLY likes Hayden’s chest. It received numerous favorable angles, including the pitstop mat, where it DID seem she was about to flash ol’ Phil. Another great showing from a team that, barring unforseen disaster, will surely be in the final.
Kris/Jon: Clearly the team to beat, but, so far, what little screentime Team Mystery Mannequin has received reveals not a shred of personality between them. But then again, I felt the same way about Rob/Brennan, the winners of TAR1. I guess there’s a lot to be siad for skipping the theatrics and simply, quietly, kicking everyone’s ass.
Gus/Hera: On the one hand, still full of surprises. ON the other hand, still couldn’t navigate their way out of a paper bag. But two 3rd place showings this early isn’t anything to sneeze at. As lolng as they can keep finding their way to the Pit Stop, they have a chance.
Assathon/Victoria: Please, people. Have we not eyes? He was rearing back to hit her, and had he not had a camera on him, he would have. “He’s never boring”?!?!? Neither is watching blood well up under your skin, I suppose. To each their own. I pray for an eleimination next week.
Adam/Rebecca: Team Head Game got very little focus this week. Something to remember come next Thanksgiving.
Freddy/Kendra: Similarly lost in the shuffle. They’re just cruising until inevitable elimination.
Lori/Bolo:I truly do think they’ve simply managed to incorporate their "roid rages into an otherwise healthy relationship, and that there is an unspoken “no harm no foul” exchanged after every argument. But the season is young. I think finding out that you’re not the only team who can’t seem to count for beans is a bonding experience, explaining the courtesy between them and…
Don/Mary Jean: Pathetic. YES, he was begging for some kind of free pass on this task. YES, he asked the supervisor if she would confirm it if he just guessed the right number without counting again. If you can’t stand the heat, get out of the kitchen. They won’t be in the race by two eliminations from now at the most.
Lena/Kristy: OK, let’s hash this out. 270 bales, 20 clues, if I am not mistaken. Editing makes it impossible to tell how many bales each team unrolled before finding a clue, so let’s say it took each team but them 5 tries on average to find it. They were the third team to arrive.
So:
Odds of finding a clue at the beginning: 20/270, or 7.4%
Odds after team 1: 19/265, 7.1%
Odds after team 2: 18/260, 6.9%, which are the odds L&K faced when they arrived. So let’s say each additional team took five tries, and Lena managed to unroll 5 more in the meantime.
Odds after team 3: 17/250, or 6.8%
Odds after team 4: 16/240, or 6.6%
Odds after team 5: 15/230, or 6.5%
Odds after team 6: 14/220, or 6.3%
Odds after team 7: 13/210, or 6.1%
Odds after team 8: 12/200, or 6%
After that, with each roll, her odds simply go up: 12/199=6.03%, 13/208=6.06%, 13/207=6.09%, etc.
Now, Phil might have been engaging in some hyperbole, but let’s assume that she DID unroll 100 bales. She did 30 by the time Don found his, and did 70 more.
Her final odds, by the time Phil eliminated them, would have been 13/ 100, or 13%, and not to much smaller than that before he arrived.
If my guesses are correct, then it is not particularly surprising that she took so long, since at no time did she have less than an 87% chance of failing to find a bale with a clue.
But then again, that would make it a statistical anomaly that all the other teams found theirs so quickly. Hmmm… (can you tell I was really routing for this team?)
Let’s suppose instead that each team took the statistically like average number of tries to find the clue. At the beginning, the odds are one clue out of every 13.5 bales. So lets say that Aaron and Jon unrolled 27 bales between them and found two clues before L&K arrived. Their odds were then 18/243, or 2/27, the same odds as a the start. 6 other teams found clues, and if they also rolled 13.5 bales apiece, then if Lena had sat around and done nothing the whole time, her odds would have been 12/162, or still 2/27 by the time Don found his clue.
Soon her odds of finding a clue are 12/160: 7.5%, or about 1 in 13 (2 bales unrolled)
Then 12/150: 8%, or about 1 in 12.5 (12 bales unrolled)
Then 12/140: 8.5%, or about 1 in 11.6 (22 bales unrolled)
Then 12/130: 9.2%, or about 1 in 11 (32 bales unrolled)
Then 12/120: 10%, or 1 in 10 (42 bales unrolled)
Then 12/110: 10.9%, or 1 in 9 (52 bales unrolled)
Then 12/100: 12%, or 1 in 8.3 (62 bales unrolled)
Then 12/90: 13.3% or 1 in 7 (72 bales unrolled)
Then 12/80: 15% or 1 in 6.6 (82 bales unrolled)
Then 12/70: 17.1%, or 1 in 5.8 (92 bales unrolled)
Then 12/60: 20%, or 1 in 5 (102 bales unrolled)
Then 12/50: 24% or about 1 in 4 (112 bales unrolled)
I assume Phil arrived somwhere around the time of the last two entries, unless he wasn’t giving an accurate estimate of her efforts.
Now on the one hand, she never had less than a 75% chance of picking a bale with no clue. But the odds of choosing wrong over and over and over in so many tries seem small. So either
a) Phil was exaggerating
b) The other teams were all improbably fortunate by repeatedly locating a clue in less than 13.5 tries, and she had more bales to unroll than I figured
c) Something screwy was going on
d) South Park was right: Heaven belongs to the Mormons, and a jealous and angry God smote Lena for lapsing.
Your answer?