{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

7-2 - Chapter 7.2 The Denition of Probability The...

This preview shows pages 1–2. Sign up to view the full content.

Chapter 7.2: The Definition of Probability The probability of an event occurring is a number between 0 and 1. We can think of probability as a measurement of likelihood. The larger an event’s probability is, the more likely that event is to occur. One way to determine probability is empirically (experimentally). We can repeat an experiment many times, and calculate the portion of trials in which the event in question occurs. For example, with a fair coin, we would find that over many flips, the coin will turn up heads about half the time. Another way to determine probability is theoretically . We determine the probability of an event occurring by using properties of probability, rather than by performing experiments. Given an event E , the notation P ( E ) refers to the probability that event E will occur. P is sometimes referred to as a probability func- tion . All probability functions have the following properties: 1. P ( S ) = 1. 2. P ( ) = 0. 3. For any event E , 0 P ( E ) 1. A simple event is an event which contains exactly one sample point. Example: Suppose a coin is flipped three times, and the sequence of heads and tails is noted. List the simple events associated with this experiment.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern