Deductions
Started by
Govind-Ramagopal
· started 2019-03-21 21:29
· last activity 2021-07-17 20:49
· 4 replies
Given the deductions made from the rules, I am still unclear as to how for question 17, its possible to deduce that lina and paulo play the same sport. I'm sure I missed something but I wanted to make sure.
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Jacob-R
· 2019-03-22 04:24
Hi @Govind-Ramagopal,
Here is how I would set up this game:
We have 6 people (KLMOPS) going in to one of two groups: G and T. The groups are ranked from highest to lowest with no ties.
T:
G:
Rules 1 and 2 : O plays T, L plays G
T: O
G: L
Rule 3: L is the best golf player. So we know nobody will come before her.
Rule 4: If M plays G, then P and S play G, with M-P-S.
Rule 5: If M plays T, then O-S-M plays tennis.
Notice that these two rules give us two different boards depending on the possibilities for M, given that M has to play either G or T.
Rule 6: If P plays tennis, then K-O-P plays tennis.
Given these rules, let’s reduce some possibilities for our game board.
Board 1: M plays G
T: O
G: L-M-P-S
(With just K left, either playing T or G)
Notice that rule 6 doesn’t apply for this game.
Board 2: M plays T
T: O-S-M
G: L
What about Rule 6? We get two possibilities: if P plays tennis, then we get
Board 2(a)
T: K-O-S/P-M/P
G: L
Or if P plays G, then
Board 2(b)
T: O-S-M
G: L-P
(With K as floater again.)
And that’s it! So we only have 3 board possibilities.
Now let’s look at this question. Additional rule that O is the highest ranking tennis player. Right away, we know we’re not in Board 2(a) land because K is higher than O. So what must be true?
A: Nope — O and M play different sports in Board 1 and Board 2(b) even with the additional rule.
B: Yes! We see that in our two board possibilities, P and L play the same sport. So this answer must be right!
I hope that helps. Please let us know if you have further questions.
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Govind-Ramagopal
· 2019-03-22 14:01
thanks this is great!
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NULL
· 2020-05-30 19:03
this question was confusing and I am still unclear as to how that worked.
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Karen-Norris
· 2021-07-17 20:49
That's how I initially set up this game, but then when I watched the set-up explanation, I threw out my initial set-up. I think I would have been better off, using the three template method.
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