STAT 1000 Lecture Notes - Lecture 22: Fair Coin, Probability Theory, Sample Space
10 Sep 2018
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Document Summary
Roll a die, toss a coin, or buy a lottery ticket with your lucky numbers. The outcome cannot be predicted ahead of time, but can nevertheless be described by a regular pattern, one which emerges only after many repeated trials. This fact is the foundation for the concept probability. We toss a coin and record the proportion of heads that has been observed after each toss. Assuming that the coin is fair, the likelihood of observing a head is the same as that for observing a tail. There is a 50% chance of either outcome. Suppose we observe the following sequence of tosses: T h h h t t t. We record the proportions of observing a head: The proportions vary quite a bit early on, but in the long-run, we are bound to see proportions very close to 0. 5 consistently.
