please excuse any errors writing on phone..
If there are 4 scenarios and scenario 1 is 45 percent likely, and the other 3 are 55 percent combined, with all less than 45 individually, the scenario 1 has a plurality. That means that if you have to pick any one option , than scenario 1 is the most likely of the 4. But it isn't rational to think scenario 1 is right, it's still more likely that 1 of the other 3 is right because they represent 55 percent of the likelihood cumulatively. I'm familiar with this concept in sports gambling. The most likely to win in a tennis tournament for instance usually has implied odds of less than 50 percent...it is more likely that "the field" wins, even if any 1 player from the field is a worse bet than the favorite. An "odds on" favorite would be one that is not only the favorite but actually likely to win, not just most likely to win.
As far as reasonable doubt, I typically consider it at 98 or even 99 percent. Something like the OJ Simpson case would be beyond reasonable doubt. A pre DNA example would be Lizzie Borden.
If there are 4 scenarios and scenario 1 is 45 percent likely, and the other 3 are 55 percent combined, with all less than 45 individually, the scenario 1 has a plurality. That means that if you have to pick any one option , than scenario 1 is the most likely of the 4. But it isn't rational to think scenario 1 is right, it's still more likely that 1 of the other 3 is right because they represent 55 percent of the likelihood cumulatively. I'm familiar with this concept in sports gambling. The most likely to win in a tennis tournament for instance usually has implied odds of less than 50 percent...it is more likely that "the field" wins, even if any 1 player from the field is a worse bet than the favorite. An "odds on" favorite would be one that is not only the favorite but actually likely to win, not just most likely to win.
As far as reasonable doubt, I typically consider it at 98 or even 99 percent. Something like the OJ Simpson case would be beyond reasonable doubt. A pre DNA example would be Lizzie Borden.
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