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> For instance, it's more likely that the number of heads and tails are about equal than not This isn't even true. Heads and tails being equal over 100 flips i
by pcthrowaway 5y ago
> For instance, it's more likely that the number of heads and tails are about equal than not
This isn't even true. Heads and tails being equal over 100 flips is something you'll see something like 8.33% of the time (not based on probability, I just ran a simulation of 100 flips 10,000 times and got 833 instances of them being equal)
edit: I missed the key word, "about". Sure, they're more likely within maybe 5-6 of one another than not.
- posix86 5y agoYes :) The exact probability for having 50%/50% is (100 nCr 50)/2^100, or about (as you found through experiemtation) 0.08. The more often you run the experiement, the more likely you'll get a result close to 50%/50%, by the way. In the limit, you have a variance (i.e. spread of results away from the expected value, which is 50%) of 0. This is called the law of large numbers. As the generic name suggest, it's pretty central to mathematics haha.