Probability
... Probability 1) A deli offers sandwiches with three choices of bread (white, wheat, or rye). There are also three choices for meat (ham, roast beef, and turkey), and a choice of mayo or no mayo. Make a tree diagram that represents all the possible combinations of bread, meat, and mayo. Then use the ...
... Probability 1) A deli offers sandwiches with three choices of bread (white, wheat, or rye). There are also three choices for meat (ham, roast beef, and turkey), and a choice of mayo or no mayo. Make a tree diagram that represents all the possible combinations of bread, meat, and mayo. Then use the ...
Lecture 18
... Sample space S = {(h,h), (h,t), (t,h), (t,t)} Event: both tosses produce same result E = {(h,h), (t,t)} Prob(E) = |E|/ |S| In the above example, p(E) = 2/4 = 0.5 Question: what is the probability of getting at least one six in three roles of a die? ...
... Sample space S = {(h,h), (h,t), (t,h), (t,t)} Event: both tosses produce same result E = {(h,h), (t,t)} Prob(E) = |E|/ |S| In the above example, p(E) = 2/4 = 0.5 Question: what is the probability of getting at least one six in three roles of a die? ...
CHAPTER 2--PROBABILITY
... 2. The ASSUMPTION Method Answer the two questions below if the instructor rolls a six-sided die. a. The probability of getting a “2” on the top face is _________ b. What assumption did you make in answering 2a ? ________________________________ ________________________________ 3. The FREQUENTIST Met ...
... 2. The ASSUMPTION Method Answer the two questions below if the instructor rolls a six-sided die. a. The probability of getting a “2” on the top face is _________ b. What assumption did you make in answering 2a ? ________________________________ ________________________________ 3. The FREQUENTIST Met ...
03. Elements of Probability Theory with Applications
... Information comes in messages: A1 , A2 , . . .. A message carries information only if it contains some news, i.e. something not completely expected. P (A): probability that message A is sent. I(A): information gain if message is indeed received. The less likely the message, the greater the informati ...
... Information comes in messages: A1 , A2 , . . .. A message carries information only if it contains some news, i.e. something not completely expected. P (A): probability that message A is sent. I(A): information gain if message is indeed received. The less likely the message, the greater the informati ...
Probability
... Probability 1) A deli offers sandwiches with three choices of bread (white, wheat, or rye). There are also three choices for meat (ham, roast beef, and turkey), and a choice of mayo or no mayo. Make a tree diagram that represents all the possible combinations of bread, meat, and mayo. Then use the ...
... Probability 1) A deli offers sandwiches with three choices of bread (white, wheat, or rye). There are also three choices for meat (ham, roast beef, and turkey), and a choice of mayo or no mayo. Make a tree diagram that represents all the possible combinations of bread, meat, and mayo. Then use the ...
PowerPoint Link - Personal.psu.edu
... phenomena where the exact outcome is not known but probabilities can be determined. One example is an analysis of population movement between cities and suburbs in the United States. Recall some basic ideas of probability. If the outcome of an event is sure to occur, we say the probability of the ou ...
... phenomena where the exact outcome is not known but probabilities can be determined. One example is an analysis of population movement between cities and suburbs in the United States. Recall some basic ideas of probability. If the outcome of an event is sure to occur, we say the probability of the ou ...
Probability and Statistics Lesson Plan Grades 7
... Learning OutcomesStudents will develop and understanding of the math terms likely, unlikely, certain, possible. Students will determine the probability of specific events Students will determine if the probability of winning a new car is likely or unlikely Background Knowledge- Students have been le ...
... Learning OutcomesStudents will develop and understanding of the math terms likely, unlikely, certain, possible. Students will determine the probability of specific events Students will determine if the probability of winning a new car is likely or unlikely Background Knowledge- Students have been le ...
Slide 1
... What is the probability of rolling the number 2 on a dice? • How many favourable outcomes? • How many possible outcomes? • Place these numbers into the fraction above… ...
... What is the probability of rolling the number 2 on a dice? • How many favourable outcomes? • How many possible outcomes? • Place these numbers into the fraction above… ...
Unit 4 Review Packet
... 16. Suppose 40% of the drivers have jumper cables. You have driven to a large university campus but left your lights on. Now your car has a dead battery and you don’t have jumper cables. a. What is the probability that you would need to ask 7 people if they could jump your car? b. What is the probab ...
... 16. Suppose 40% of the drivers have jumper cables. You have driven to a large university campus but left your lights on. Now your car has a dead battery and you don’t have jumper cables. a. What is the probability that you would need to ask 7 people if they could jump your car? b. What is the probab ...
LECTURES IN MATHEMATICAL STATISTICS ELEMENTS OF
... underlie this axiomatic system can be attributed to two distinct sources. The first and most fruitful source is the deductive analysis of games of chance. We shall use this kind of analysis to outline some of the results in probability theory that we shall later derive from the axioms. The analysis ...
... underlie this axiomatic system can be attributed to two distinct sources. The first and most fruitful source is the deductive analysis of games of chance. We shall use this kind of analysis to outline some of the results in probability theory that we shall later derive from the axioms. The analysis ...
Experimental Probability
... Step 1 Copy the chart below on your paper. Roll a number cube ten times. Record the number of times each number appears by using a tally mark in the chart. ...
... Step 1 Copy the chart below on your paper. Roll a number cube ten times. Record the number of times each number appears by using a tally mark in the chart. ...
unit portfolio File
... Nine boys and twelve girls have signed up for a trip. Only six students will be selected to go on the trip. What is the probability that there will be an equal number of boys and girls on the trip? A. C. ...
... Nine boys and twelve girls have signed up for a trip. Only six students will be selected to go on the trip. What is the probability that there will be an equal number of boys and girls on the trip? A. C. ...
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.