#6
Post
by smilergrogan » Thu Dec 13, 2012 3:37 pm
Here's my investigation of the 50/50 I posted years ago for the first two seasons of the syndicated show. At one time, I also posted an investigation of the same thing for the prime time show (using incomplete transcript info), and it showed that the primetime 50/50 behaved more like it was generated randomly than the syndicated one did. Interesting that it very likely wasn't random when Meredith said it was, and behaved more like it was random when the show told contestants it wasn't. (Just because it behaved as if it was random doesn't prove that it actually was random, though).
If the Bored wasn't so screwed up and slow, I might take a look through the transcripts to see if the JTQ behaves as if random.
"50/50 Random? Stats Suggest Otherwise", Nov. 21, 2004
It seems whenever I see the syndicated BAM show, Meredith is always
insisting to skeptical contestants that the 50/50 randomly removes
two of the three wrong answers. I know the conventional wisdom is
that it's not random, but this is actually a testable proposition,
making use of the thorough transcripts compiled by dedicated fans
(and available in the links section here).
In particular, every time a contestant uses the ATA followed by the
50/50 on the same question, we get numerical data on the popularity
of the three wrong answers which can be compared to the one wrong
answer which the 50/50 actually leaves. If the 50/50 is truly
random, then the most popular wrong answer should be left 1/3 of the
time.
Looking back through the three seasons of syndicated show
transcripts, I identified 56 instances where a contestant used ATA
followed by 50/50 on the same question. Here are the results:
50/50 leaves most popular wrong answer: 25 times
50/50 leaves 2nd most popular wrong answer: 15 times
50/50 leaves least popular wrong answer: 16 times
(for this season's shows, I averaged the studio audience and AOL
results for ATA)
It is straightforward to calculate the chance that a random selection
would choose the most popular of three answers 25 or more times in 56
chances; this works out to be 5.1 %. So, if the 50/50 really is
random, there is only about a 1 in 20 chance that the results would
be skewed so much in favor of the most popular wrong answer.
The above probably overstates the chance that the 50/50 is random.
Consider that on many questions there is not a clear "best" wrong
answer, so the audience response is unpredictable. If we focus in on
only those questions where the audience clearly favored one wrong
answer over the other two, we might get a better idea of whether the
50/50 is random.
I looked at questions where the ATA resulted in one wrong answer that
got at least 25% of the total vote AND at least 15 percentage points
more than either of the other two wrong answers. These are likely to
be questions where the most popular wrong answer is easiest to
predict.
I found 21 such instances; results were:
50/50 leaves most popular wrong answer: 13 times
50/50 leaves 2nd most popular wrong answer: 4 times
50/50 leaves least popular wrong answer: 4 times
If the 50/50 is random, the chance that it would select the most
popular wrong answer 13 or more times out of 21 works out to be 0.7 %.
So, I feel pretty safe in saying that the 50/50 is not random. I
guess the question is, why do they insist that it is? Why not just
say that it is intended to leave the most plausible wrong answer and
let contestants deal with it that way (it still would be a valuable
lifeline)? Isn't it unethical to intentionally deceive contestants?
"50/50 Random? No Way", Nov. 23, 2004
I followed through on a trend I spotted in my previous 50/50 survey.
I'm a little surprised no dedicated viewers of the syndicated show
noticed it. Here is the key statistic:
In the first two seasons of syndicated BAM, the 50/50 was used 562
times (according to the transcripts) and the wrong answer it left was
letter D exactly 1 time (June 27, 2004). D was one of the two
remaining answers a total of 120 times, and was the correct answer
119 out of 120 times. Starting from the beginning of the first
syndicated season, when the 50/50 left D as one of the two possible
answers, D was the correct answer 111 times in a row. If you don't
believe me, check the transcripts yourself.
In addition, the two answers left by the 50/50 were C and D exactly 1
time out of the 562 (also June 27, 2004).
Now, if that's random, I'm a Hottentot!
Here are the complete numbers for the first two seasons:
Answers Left By 50/50
A&B: 103 times
A&C: 158 times
A&D: 35 times
B&C: 181 times
B&D: 84 times
C&D: 1 time
Correct Answer
A: 151 times
B: 138 times
C: 154 times
D: 119 times
*The bad news for those who may want to use this information to
improve their chances of success in the hotseat:
Starting with this season, there has been a dramatic change. The
show clearly became aware of the problem and has corrected it (and
maybe even overcompensated). In 62 50/50 usages this season, D has
been the wrong answer left 24 times, and the correct answer 12. C
and D have been the two answers left a total of 12 times.
So it's possible the 50/50 is now random, but it surely wasn't for
the first two seasons.