Randomness is everywhere. Do you like to cook? Imagine you’re sauteeing some onions. You’d like each slice of onion to be equally browned on both sides. However, you don’t measure this for each piece. Instead, you stir randomly, and by the “law of large numbers, ” this occurs naturally. The law of large numbers says that if we flip a fair coin many times, about half the time it will come up heads and half tails. Of course, we expect some error: heads may appear 53 % of the time, for example. We call this 3 % difference from the expected 50 % the error. The error gets smaller the more times we flip the coin, becoming negligible for a large number of flips. We all pay attention to polls before elections. Surprisingly, a modest sample of 400 r...
One thousand fair causally isolated coins will be independently flipped tomorrow morning and you kno...
The gambler's fallacy and the hot hand belief have been classified as two exemplars of human misperc...
One thousand fair causally isolated coins will be independently flipped tomorrow morning and you kno...
This Mathematica demonstration showcases the law of large numbers, a key theorem in probability theo...
To simulate chance occurrences, a computer can't literally toss a coin or roll a die. Instead, ...
We begin with an allegory, a fanciful tale in which you plan to assess the randomness of pi. You use...
For a homework assignment in a statistics course, half the class was asked to record the actual resu...
Given a sequence of numbers (Formula presented.) in [0, 1], consider the following experiment. First...
AbstractTo examine the concept of random generation in bounded, as opposed to expected, polynomial t...
AbstractTo examine the concept of random generation in bounded, as opposed to expected, polynomial t...
We study a problem related to coin flipping, coding theory, and noise sensitivity. Consider a source...
We study a problem related to coin flipping, coding theory, and noise sensitivity. Consider a source...
Abstract: 1000 fair causally isolated coins will be independently flipped tomorrow morning and you k...
We consider evidence relevant to whether a (possibly idealized) physical process is produc-ing its o...
One thousand fair causally isolated coins will be independently flipped tomorrow morning and you kno...
One thousand fair causally isolated coins will be independently flipped tomorrow morning and you kno...
The gambler's fallacy and the hot hand belief have been classified as two exemplars of human misperc...
One thousand fair causally isolated coins will be independently flipped tomorrow morning and you kno...
This Mathematica demonstration showcases the law of large numbers, a key theorem in probability theo...
To simulate chance occurrences, a computer can't literally toss a coin or roll a die. Instead, ...
We begin with an allegory, a fanciful tale in which you plan to assess the randomness of pi. You use...
For a homework assignment in a statistics course, half the class was asked to record the actual resu...
Given a sequence of numbers (Formula presented.) in [0, 1], consider the following experiment. First...
AbstractTo examine the concept of random generation in bounded, as opposed to expected, polynomial t...
AbstractTo examine the concept of random generation in bounded, as opposed to expected, polynomial t...
We study a problem related to coin flipping, coding theory, and noise sensitivity. Consider a source...
We study a problem related to coin flipping, coding theory, and noise sensitivity. Consider a source...
Abstract: 1000 fair causally isolated coins will be independently flipped tomorrow morning and you k...
We consider evidence relevant to whether a (possibly idealized) physical process is produc-ing its o...
One thousand fair causally isolated coins will be independently flipped tomorrow morning and you kno...
One thousand fair causally isolated coins will be independently flipped tomorrow morning and you kno...
The gambler's fallacy and the hot hand belief have been classified as two exemplars of human misperc...
One thousand fair causally isolated coins will be independently flipped tomorrow morning and you kno...