And yeah, the dummy is 13, and no one has veto power.
Hi Hil. I'm not terribly familiar with weighted voting as a subject, but given the problem begins with:
If there are four voters, with voting weights of 30, 29, 28, and 13, and if one, and only one, of the voters has veto power
doesn't someone have to have veto power?
Oh! You're right! I didn't read the question carefully enough.
So then the voter with 30 votes must be the one with veto power. So that means that billytea was right, the quota has to be at least 71 -- if the voter with 30 votes against it, it won't pass, so that means that the quota must be at least 71. But, on the other hand, if the voters with 30, 28, and 13 each vote for it, and the one with 29 votes against it, there will be 71 votes for it, and since only one voter has veto power, and it's not the one with 29, it must pass. So the quota can't be greater than 71. So it must be exactly 71.
And then in this case, there are no dummy voters. For just one example, if 30, 28, and 13 all vote for it, it'll pass, but if just 30 and 28 do, it won't, so 13 can't be a dummy.
and that made me nostalgic and so I googled
I bet you Flickr has some pictures of the place, too, it's amazing what you can find there.
I was telling someone about my trip to Skardu way back when, and one of the anecdotes is about watching a game of polo there, and how the "bleachers" are made of stone, come all the way to the edge of the playing field -- carom passes off the lowest part were allowed -- and I was delighted to find that Flickr has some pix:
[link]
[link] (in the background)
[link]
Looks like the place hasn't changed much in 28 years.
Brenda, whenever I see the name of your blog, I think there must be a Seuss book with a Brenda Lu Who in it.
The local DC news just broke into a commercial break to say that some other stations are reporting that Webb won. It seemed like a rather pointless news break.
Gee, I wonder what they're gonna talk about on The Daily Show....
Britney's new hair, and Gee's golden langurs.
Excellent Top Chef tonight.
Excellent Dan Savage column on Santorum's defeat: [link]
I'd quote from it, but taking a quote out of context really changes the tone of the piece....