Tuesday, February 16, 2010

Bowling Puzzler IV: 200 on the Scoreboard

For bowlers of lesser skill, 200 is the magic number. It is the difference between a good game and a great game. For our team, the fate of the 200 game almost invariably comes down to the 10th frame. It goes something like this... You are sitting on a 166 and two strikes in the 9th. To get to the deuce, you need to strike your first ball and get at least 7 on the 2nd. Because we suck at bowling, scores of 200 or above are always a late game affair. Here's my question. If we were better at bowling, say with 200+ averages, would we see scores greater than 200 appear on the scoreboard earlier in games? Well, yes, of course we would. But the real question is:

What is the minimum number of frames you have to bowl to see a score of at least 200 on the scoreboard? What about 250?

5 comments:

  1. My guess is you'd have to complete at least 8 frames (X,X,X,X,X,X,-/,X) in order to see the magical 200 on the sheet in the 7th frame.

    For 250, I think the earliest you'd 'see' it on the sheet is in the 9th frame and that's only after you rolled 8 strikes in a row followed by a spare (quickly followed by an expletive of course)

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  2. This seems so simple: X-X-X-X-X-X(180)-X-X(200)... You wouldn't "see" it until you bowled something other than a strike in the 9th frame (hitting one pin would show a 201). For a 250 to show up: X-X-X-X-X-X-X-X(240)... The next ball, if a strike, would be 250, but you wouln't "see" it either until something other than a strike with the first ball inthe 10th frame.

    Maybe there's an faster way, I don't know. It's early and I'm simple.

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  3. Well, you are both in the right ball park. Remember that the question asks for a score of at least 200.

    After six consecutive strikes, you have a score of 150. After seven, you have 180. If you get at least a 7 on your first ball in 8th, you will 200 on the scoreboard after one ball in the eighth. I'm giving this one to MaddysMaddy

    After 9 consecutive strikes, you have a 240, so for any game you won't know you have a 250 until the 10th. It can be achieved with as few as four pins on the first ball in the 10th after nine straight strikes. This one goes to EB.

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  4. Wait a minute. Don't you have to get a strike in the 8th frame to get that 180 in the 6th?

    (told you, I'm simple)

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  5. Yes, you do. But I'm talking about a total score of 200. If you have seven straight strikes, you are sitting on a total score of 180 (in the 7th). To get to 200, you need at least 7 on your first in the 8th.

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