Probability, Probability Distributions, Binomial Distribution
... • Three doors. Prize behind one, goats behind the other two. • I pick a door. • Monty (who knows where the prize is) reveals a goat. (Assume he ALWAYS reveals a goat). • What is the probability the prize is behind my ...
... • Three doors. Prize behind one, goats behind the other two. • I pick a door. • Monty (who knows where the prize is) reveals a goat. (Assume he ALWAYS reveals a goat). • What is the probability the prize is behind my ...
+ Section 5.1 Randomness, Probability, and Simulation
... Each month , the student council holds a “golden ticket parking lottery” at a school assembly. Two lucky winners are given reserved parking spots next to the main entrance. Last month, the winning tickets were drawn by a student council member from the AP Statistics class. When both golden tickets w ...
... Each month , the student council holds a “golden ticket parking lottery” at a school assembly. Two lucky winners are given reserved parking spots next to the main entrance. Last month, the winning tickets were drawn by a student council member from the AP Statistics class. When both golden tickets w ...
Chapter 6
... Def: Each time we obtain a simulated answer to our question, this is called a trial. Two scenarios: 1) Set number of trials – may be equal or unequal probabilities such as 50/50 or 60/40 2) “Wait-time” – rather than set number of trials, the simulation continues until a certain condition is met ...
... Def: Each time we obtain a simulated answer to our question, this is called a trial. Two scenarios: 1) Set number of trials – may be equal or unequal probabilities such as 50/50 or 60/40 2) “Wait-time” – rather than set number of trials, the simulation continues until a certain condition is met ...
Conditional probability
... (1) A decomposition of a set S into 2 or more disjoint nonempty subsets is called a partition of S. The subsets A1 , A2 , . . . An form a partition of S if S A1 A2 ..... An and Ai Aj for i j. (2) The theorem of total probability can be used to determine the probability of a complex eve ...
... (1) A decomposition of a set S into 2 or more disjoint nonempty subsets is called a partition of S. The subsets A1 , A2 , . . . An form a partition of S if S A1 A2 ..... An and Ai Aj for i j. (2) The theorem of total probability can be used to determine the probability of a complex eve ...
Slide 1
... • Equal numbers of people are born on days other than February 29. • The number of people born on February 29 is one-fourth of the number of people born on any other day. Why? Hence the probability that a randomly selected person was born on February 29 is 1 out of 1461 = 0.25/365.25, and the probab ...
... • Equal numbers of people are born on days other than February 29. • The number of people born on February 29 is one-fourth of the number of people born on any other day. Why? Hence the probability that a randomly selected person was born on February 29 is 1 out of 1461 = 0.25/365.25, and the probab ...
AP Stats Chap 5.1
... Learning Objectives After this section, you should be able to: INTERPRET probability as a long-run relative frequency. USE simulation to MODEL chance behavior. ...
... Learning Objectives After this section, you should be able to: INTERPRET probability as a long-run relative frequency. USE simulation to MODEL chance behavior. ...
Probability - East Penn School District
... What is the probability that you will select a yellow marble, not replace it, select a red marble, not replace it, and then select a yellow marble? ...
... What is the probability that you will select a yellow marble, not replace it, select a red marble, not replace it, and then select a yellow marble? ...
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.