Lecture 2
... from a lottery, empirical observation) or s/he came up with them on her/his own. • The ultimate aim is to present a succinct way to capture rational human behavior when faced with situations of uncertainty. • This theory will not be perfect – we will point out many shortcomings. However, it is the b ...
... from a lottery, empirical observation) or s/he came up with them on her/his own. • The ultimate aim is to present a succinct way to capture rational human behavior when faced with situations of uncertainty. • This theory will not be perfect – we will point out many shortcomings. However, it is the b ...
possible numbers total possible numbers even . . . . 2 1 6 3 =
... Experiment 1: A dresser drawer contains one pair of socks with each of the following colors: blue, brown, red, white and black. Each pair is folded together in a matching set. You reach into the sock drawer and choose a pair of socks without looking. You replace this pair and then choose another pai ...
... Experiment 1: A dresser drawer contains one pair of socks with each of the following colors: blue, brown, red, white and black. Each pair is folded together in a matching set. You reach into the sock drawer and choose a pair of socks without looking. You replace this pair and then choose another pai ...
Chapter 4: Probabilities and Proportions
... Section 4.1 Introduction In the real world, variability is everywhere and in everything. Probability studies randomness, where random is not the same as haphazard. Random refers to a situation in which there are various possible outcomes, you don’t know which one will occur, but there is a regular p ...
... Section 4.1 Introduction In the real world, variability is everywhere and in everything. Probability studies randomness, where random is not the same as haphazard. Random refers to a situation in which there are various possible outcomes, you don’t know which one will occur, but there is a regular p ...
Discrete Distributions
... consists of drawing a sample of n Bernoulli random variables and counting how many ones appear in the sample. This experiment forms the basis of voter polling. Usually we don’t just ask one person who they are going to vote for, but many. Gallup polls, for example, typically question around 1500 peo ...
... consists of drawing a sample of n Bernoulli random variables and counting how many ones appear in the sample. This experiment forms the basis of voter polling. Usually we don’t just ask one person who they are going to vote for, but many. Gallup polls, for example, typically question around 1500 peo ...
Worksheet A3 : Single Event Probability
... 2. Two seniors, one from each government class are randomly selected to travel to Washington, D.C. Wes is in a class of 18 students and Maureen is in a class of 20 students. Find the probability that both Wes and Maureen will be selected. ...
... 2. Two seniors, one from each government class are randomly selected to travel to Washington, D.C. Wes is in a class of 18 students and Maureen is in a class of 20 students. Find the probability that both Wes and Maureen will be selected. ...
FPP13_15
... probability isn’t a thing but a concept We can spend a semester philosophizing about probability if you are interested I can direct you to some books. An unexhausted list ...
... probability isn’t a thing but a concept We can spend a semester philosophizing about probability if you are interested I can direct you to some books. An unexhausted list ...
Slide 1
... Suppose you are playing a game in which you roll two fair dice. If you roll a total of five you will win. If you roll a total of two, you will lose. If you roll anything else, the game continues. What is the probability that the game will end on your next roll? It is impossible to roll a total of 5 ...
... Suppose you are playing a game in which you roll two fair dice. If you roll a total of five you will win. If you roll a total of two, you will lose. If you roll anything else, the game continues. What is the probability that the game will end on your next roll? It is impossible to roll a total of 5 ...
Chapter 3: Probability - Angelo State University
... probability of an event approaches the theoretical (actual) probability of the event. Example: ...
... probability of an event approaches the theoretical (actual) probability of the event. Example: ...
Lecture13
... allows us to speed up computation. But the fundamental insight is that If A and B are independent properties then ...
... allows us to speed up computation. But the fundamental insight is that If A and B are independent properties then ...
Ars Conjectandi
Ars Conjectandi (Latin for The Art of Conjecturing) is a book on combinatorics and mathematical probability written by Jakob Bernoulli and published in 1713, eight years after his death, by his nephew, Niklaus Bernoulli. The seminal work consolidated, apart from many combinatorial topics, many central ideas in probability theory, such as the very first version of the law of large numbers: indeed, it is widely regarded as the founding work of that subject. It also addressed problems that today are classified in the twelvefold way, and added to the subjects; consequently, it has been dubbed an important historical landmark in not only probability but all combinatorics by a plethora of mathematical historians. The importance of this early work had a large impact on both contemporary and later mathematicians; for example, Abraham de Moivre.Bernoulli wrote the text between 1684 and 1689, including the work of mathematicians such as Christiaan Huygens, Gerolamo Cardano, Pierre de Fermat, and Blaise Pascal. He incorporated fundamental combinatorial topics such as his theory of permutations and combinations—the aforementioned problems from the twelvefold way—as well as those more distantly connected to the burgeoning subject: the derivation and properties of the eponymous Bernoulli numbers, for instance. Core topics from probability, such as expected value, were also a significant portion of this important work.