Puzzle time: the baseball fan
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wrote on 3 Feb 2021, 04:41 last edited by
I should be more specific. Did the news make you more or less optimistic than you were before hearing it?
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wrote on 3 Feb 2021, 04:44 last edited by
I should be more specific
Link to video -
wrote on 3 Feb 2021, 10:28 last edited by
Randomness has no memory. The events are independent. Hence you should be happy.
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wrote on 3 Feb 2021, 11:09 last edited by
Your reasoning doesn’t make any sense. What if his team was down 0-1 games when he left and 0-3 games upon his return? Surely the odds of his team winning the series would have dropped considerably, even though all the games are independent.
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wrote on 3 Feb 2021, 11:17 last edited by Klaus 2 Mar 2021, 11:25
Well, you didn't specify what "Should you be happy?" means.
If I were a stoic, for instance, all that would matter to make me happy was whether the team played as well as they could, and it wouldn't matter whether they won or lost.
I figured that "one game each" is better than what is to be expected at the given odds, hence one should be happy.
But you seem to mean something else.
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wrote on 3 Feb 2021, 11:42 last edited by
I thought I clarified in my second post.
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wrote on 3 Feb 2021, 11:55 last edited by Klaus 2 Mar 2021, 11:56
Doesn't really clarify it. Do you mean: Does the news improve the odds that your team will win at least 4 out of the 7 games?
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wrote on 3 Feb 2021, 12:18 last edited by
Yes.
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wrote on 3 Feb 2021, 13:04 last edited by Klaus 2 Mar 2021, 13:04
The odds that the news improves the odds is less than 60%, Bayesianistically speaking.
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wrote on 3 Feb 2021, 13:48 last edited by
I think the odds that you’re odd are even higher.
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wrote on 3 Feb 2021, 13:50 last edited by
That's odd.
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wrote on 3 Feb 2021, 14:59 last edited by
Isn't this just yet another comparison of two "probability of >=k heads in n throws of a biased coin p"?
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wrote on 3 Feb 2021, 15:39 last edited by jon-nyc 2 Mar 2021, 15:39
You know what's funny?
My kid's old math circle mailed this question out Sunday. I have nobody to ask any clarifying questions of, they send out hints Tuesday and Thursday and an answer Saturday. But somehow I managed.
I think there's a skill called 'questionology' that I'm apparently better at than you and Ax.
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wrote on 3 Feb 2021, 16:20 last edited by
You guys should become a comedy troupe!!!
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You know what's funny?
My kid's old math circle mailed this question out Sunday. I have nobody to ask any clarifying questions of, they send out hints Tuesday and Thursday and an answer Saturday. But somehow I managed.
I think there's a skill called 'questionology' that I'm apparently better at than you and Ax.
wrote on 3 Feb 2021, 16:23 last edited by Klaus 2 Mar 2021, 16:24@jon-nyc said in Puzzle time: the baseball fan:
I think there's a skill called 'questionology' that I'm apparently better at than you and Ax.
The difference is that you know you have nobody to ask for clarification, whereas for us its a small investment to ask a clarifying question compared to investing valuable brain time for questionology. You are not better; you are just in a situation with less options
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wrote on 4 Feb 2021, 16:26 last edited by
He shouldn't be happy. Probability of winning goes down from 0.29 to 0.179.
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wrote on 4 Feb 2021, 17:38 last edited by
You’re comparing the time before the first game to the time after,
Should be the time before the camping trip to the time after.
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wrote on 4 Feb 2021, 18:14 last edited by
It mostly depends on whether Tom Brady is the pitcher.
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You’re comparing the time before the first game to the time after,
Should be the time before the camping trip to the time after.
wrote on 4 Feb 2021, 18:23 last edited by@jon-nyc said in Puzzle time: the baseball fan:
You’re comparing the time before the first game to the time after,
Should be the time before the camping trip to the time after.
Oh, you are right.
Looks like the probabilities are identical, then: both are 0.1792.
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wrote on 4 Feb 2021, 18:31 last edited by jon-nyc 2 Apr 2021, 18:32
Yeah which is why I posted it.
It’s counter intuitive.
Your team is down by a game, with up to 6 left to play. You come back and your team is still down by a game but only 4 left.
Seems like you’re in a worse position, less opportunity to catch up. But your odds are unchanged.