sample tasks - Deep Curriculum Alignment Project for Mathematics
... The 7th grade math class has a number cube and a fair coin. Order the following probabilities from least likely to most likely: flipping a tail, flipping a head or a tail, rolling a number that is not 1, and rolling a 1. ...
... The 7th grade math class has a number cube and a fair coin. Order the following probabilities from least likely to most likely: flipping a tail, flipping a head or a tail, rolling a number that is not 1, and rolling a 1. ...
stochastic processes
... Note: Any particular experiment can often have many different sample spaces depending on the observation of interest. ...
... Note: Any particular experiment can often have many different sample spaces depending on the observation of interest. ...
(pdf)
... Example of concepts: In a popular role-playing game players create characters with various ‘ability scores’ (determining that characters strength, intelligence and other physical or mental attributes) that take integer values from 3 to 18 (with 10 or 11 considered average) – these numbers will be o ...
... Example of concepts: In a popular role-playing game players create characters with various ‘ability scores’ (determining that characters strength, intelligence and other physical or mental attributes) that take integer values from 3 to 18 (with 10 or 11 considered average) – these numbers will be o ...
Chapter 9_8 Lesson - Saint Joseph High School
... The payout column is what the customer would win/lose given each outcome of heads appearing. -5 for 0 heads because the customer had to pay 5 dollars to play. Adding up the last column of this chart gives us an expected value of -.5 which means that with this game, on average, we would make (or the ...
... The payout column is what the customer would win/lose given each outcome of heads appearing. -5 for 0 heads because the customer had to pay 5 dollars to play. Adding up the last column of this chart gives us an expected value of -.5 which means that with this game, on average, we would make (or the ...
probability - ellenmduffy
... • Count the total number of possible events • Count the total number of successful events • P(success) = # successful events # total possible events ...
... • Count the total number of possible events • Count the total number of successful events • P(success) = # successful events # total possible events ...
ROCKY FORD CURRICULUM GUIDE SUBJECT: Math GRADE: 7
... We will design a probability simulation to generate the occurance of a compound event. We will predict the outcome and compare the theoretical probability to ...
... We will design a probability simulation to generate the occurance of a compound event. We will predict the outcome and compare the theoretical probability to ...
Probability and Statistics - Math GR. 6-8
... Permutations or Combinations ? • C(n,r) can be used in conjunction with the multiplication principle or the addition principle. • Thinking of a sequence of subtasks may seem to imply ordering bit it just sets up the levels of the decision tree, the basis of the multiplication principle. • Check the ...
... Permutations or Combinations ? • C(n,r) can be used in conjunction with the multiplication principle or the addition principle. • Thinking of a sequence of subtasks may seem to imply ordering bit it just sets up the levels of the decision tree, the basis of the multiplication principle. • Check the ...
Review of Definitions for Probability - HMC Math
... In the case that the sample space is an interval of the real line we require that this σ-algebra contain all of the sub-intervals and then refer to the smallest such σ-algebra as the Borel subsets of that interval (after the French mathematician Èmile Borel). The events which contain precisely one ...
... In the case that the sample space is an interval of the real line we require that this σ-algebra contain all of the sub-intervals and then refer to the smallest such σ-algebra as the Borel subsets of that interval (after the French mathematician Èmile Borel). The events which contain precisely one ...
ch8 qs Catholic trials
... A number of electrical components are wired together in an alarm so that it will operate if at least one of the components works. The probability that each one of these components will work is 0·6. i. If an alarm had three components wired together, find the probability that at least one of the comp ...
... A number of electrical components are wired together in an alarm so that it will operate if at least one of the components works. The probability that each one of these components will work is 0·6. i. If an alarm had three components wired together, find the probability that at least one of the comp ...
chapter 14 slides
... The LLN says nothing about short-run behavior. Relative frequencies even out only in the long run, and this long run is really long (infinitely long, in fact). The so called Law of Averages (that an outcome of a random event that hasn’t occurred in many trials is “due” to occur) doesn’t exist at all ...
... The LLN says nothing about short-run behavior. Relative frequencies even out only in the long run, and this long run is really long (infinitely long, in fact). The so called Law of Averages (that an outcome of a random event that hasn’t occurred in many trials is “due” to occur) doesn’t exist at all ...
A ∩ B
... Conditional Probability and Independence The Practice of Statistics, 4th edition – For AP* STARNES, YATES, MOORE ...
... Conditional Probability and Independence The Practice of Statistics, 4th edition – For AP* STARNES, YATES, MOORE ...
Intro to probability Powerpoint
... The LLN says nothing about short-run behavior. Relative frequencies even out only in the long run, and this long run is really long (infinitely long, in fact). The so called Law of Averages (that an outcome of a random event that hasn’t occurred in many trials is “due” to occur) doesn’t exist at all ...
... The LLN says nothing about short-run behavior. Relative frequencies even out only in the long run, and this long run is really long (infinitely long, in fact). The so called Law of Averages (that an outcome of a random event that hasn’t occurred in many trials is “due” to occur) doesn’t exist at all ...
Theoretical and Experimental Probability
... success,” 80% is an estimate of probability based on similar case histories. Each repetition of an experiment is a trial. The sample space of an experiment is the set of all possible outcomes. The experimental probability of an event is the ratio of the number of times that the event occurs, the fre ...
... success,” 80% is an estimate of probability based on similar case histories. Each repetition of an experiment is a trial. The sample space of an experiment is the set of all possible outcomes. The experimental probability of an event is the ratio of the number of times that the event occurs, the fre ...
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.