Basic Statistics

deals with experiments that yield random short-term results or outcomes yet reveal long-term predicitability

The long-term proportion in which a certain outcome is observed if the probability of that outcome

As the number of reperitions of a probability experiment increases, the proportion with which a certain outcome is observedgets closer to the probability of the outcome. 

any process with uncertain results that can be repeated.

S, a probability experiment is the collection of all possible outcomes

is any collection of outcomes from a probability experiment. An event consists of one outcome or more than one outcome. We will denote events with one outcome, sometimes called simple events,e_i. In general, events are denoted using capital letters such as E. 

1. The probability of any event E, P(E), must be greater than or equal to 0 and less than or equal to 1. That is \(≤\)1.

2. The sum of the probabilities of all outcomes must equal 1. That is, if the sample space S= {e₁, e₂,....,en}, then P(e₁) + P(e₂)+.....+P(e_n)=1

lists the possible outcomes of a probability experiment and each outcome's probability. 

the probability of the event is 0