Lecture%209-1

# Lecture%209-1 - Chapter 4(Section 4.2 In this chapter we...

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Chapter 4 (Section 4.2) In this chapter, we will talk about `` probability ’’ of an `` event ’’, which is an `` outcome ’’ of a `` procedure ’’ (a `` random phenomenon ’’ or an `` experiment ’’). Procedure ( random phenomenon or experiment ): It has outcomes, but the outcomes are uncertain. Example: A coin is tossed 3 times and we are interested in number of heads. Tossing a coin is a procedure it has outcomes a head (H) or a tail (T). However, the outcomes are uncertain. When a coin is tossed 3 times this is also a procedure the procedure of tossing a coin has been repeated 3 times. There are many outcomes, e.g., THT, HHT, TTT, or ``Two T and one H”. But all the outcomes are uncertain. We will often repeat a procedure many times.

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Event: any collection of results or outcomes of a procedure. Tossing a coin -> H is an event, T is an event Tossing a coin 3 times -> THT is an event, TTH is an event, ``Two T and one H” is also an event. Note: the event ``Two T and one H” can happen many ways, TTH, THT, or HTT Simple Event: an outcome or an event that cannot be further broken down into simpler components. Tossing a coin -> event H is a simple event, event T is a simple event. Tossing a coin 3 times: THT is a simple event, but ``Two T and one H” is not a simple e vent -> it can be broken into simpler components, e.g., THT, TTH, HTT
Sample space for a procedure: the collection of all possible simple events of the procedure.

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