Introduction to Probability (MATH 380) – Fall 2016 Syllabus
... p.m. Please take exam dates into account when making your travel plans. Office hours 8:30-9:20 am MWF; and by appointment (pjthomas–at–case.edu) Homework: Homework will be assigned regularly, either during lecture or via the course website. Homework is due at the beginning of class one week after th ...
... p.m. Please take exam dates into account when making your travel plans. Office hours 8:30-9:20 am MWF; and by appointment (pjthomas–at–case.edu) Homework: Homework will be assigned regularly, either during lecture or via the course website. Homework is due at the beginning of class one week after th ...
+ P(B)
... Now, it is very easy to A: the sum is odd calculate the probabilities. B: the sum is even C: the sum is a prime number D: the sum is a multiple of 4 E: the sum is at least 7 Total possible outcomes are 36. Hence n(S) = 36 n(A) = 18 A and B are complementary events. n(B ) = 36 - n(A) n(C) = 15 n(D) = ...
... Now, it is very easy to A: the sum is odd calculate the probabilities. B: the sum is even C: the sum is a prime number D: the sum is a multiple of 4 E: the sum is at least 7 Total possible outcomes are 36. Hence n(S) = 36 n(A) = 18 A and B are complementary events. n(B ) = 36 - n(A) n(C) = 15 n(D) = ...
Section 4.4 The Multiplication Rules & Conditional Probability
... To determine the probability of a compound event involving AND, we must first determine if the two events are independent or dependent ...
... To determine the probability of a compound event involving AND, we must first determine if the two events are independent or dependent ...
Math 112 Probability Worksheet
... e) P(square or a shape with an odd number) f) P(any shape or any shape with a number on it) 9. Jeff and George are skateboarders. Jeff successfully completes a certain stunt 1 out of every 5 attempts while George completes the same stunt 1 out of every 4 attempts. Show how an area model could be use ...
... e) P(square or a shape with an odd number) f) P(any shape or any shape with a number on it) 9. Jeff and George are skateboarders. Jeff successfully completes a certain stunt 1 out of every 5 attempts while George completes the same stunt 1 out of every 4 attempts. Show how an area model could be use ...
Green Jawbreaker - lenny-prob
... • If you flip a coin 4 times and get 4 heads, what is the probability of getting heads on the 5th toss? • What if you flip a coin 15 times and get 15 ...
... • If you flip a coin 4 times and get 4 heads, what is the probability of getting heads on the 5th toss? • What if you flip a coin 15 times and get 15 ...
Alg2 Notes 7.2.notebook
... Equally likely outcomes have the same chance of occurring. When you toss a fair coin, heads and tails are equally likely outcomes. Favorable outcomes are outcomes in a specified event. For equally likely outcomes, the theoretical probability of an event is the ratio of the number of favorable ou ...
... Equally likely outcomes have the same chance of occurring. When you toss a fair coin, heads and tails are equally likely outcomes. Favorable outcomes are outcomes in a specified event. For equally likely outcomes, the theoretical probability of an event is the ratio of the number of favorable ou ...
Chapter 3: Probability
... 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: ...
Chapter 3
... complementary, find the probabilities of unions and intersections, and find the joint probability of two events? 12. What is a conditional probability, how do we find it, and how do we use it to determine potential causes of events? 13. What is the property of Independence, and how is it related to ...
... complementary, find the probabilities of unions and intersections, and find the joint probability of two events? 12. What is a conditional probability, how do we find it, and how do we use it to determine potential causes of events? 13. What is the property of Independence, and how is it related to ...
JSUNILTUTORIAL, SAMASTIPUR X Mathematics Assignments Chapter: probability
... the probability that it is green is 3/2 . Find the number of blue marbles in the jar. 52. What is the probability that a number selected at random from the numbers 10, 20, 20, 30, 30, 30, 40, 40, 40, 40 will be their mean? 16. A game consists of tossing a coin three times and noting the outcome each ...
... the probability that it is green is 3/2 . Find the number of blue marbles in the jar. 52. What is the probability that a number selected at random from the numbers 10, 20, 20, 30, 30, 30, 40, 40, 40, 40 will be their mean? 16. A game consists of tossing a coin three times and noting the outcome each ...
Chapter3-1
... • Ex 3f. At a certain stage of a criminal investigation the inspector in charge is 60 percent convinced of the guilty of a certain suspect. Suppose now that a new piece of evidence that shows the criminal has a certain characteristic (such as lefthandedness, baldness, or brown hair) is uncovered. I ...
... • Ex 3f. At a certain stage of a criminal investigation the inspector in charge is 60 percent convinced of the guilty of a certain suspect. Suppose now that a new piece of evidence that shows the criminal has a certain characteristic (such as lefthandedness, baldness, or brown hair) is uncovered. I ...
Lecture 3. Combinatorial Constructions Many probability spaces
... Solution. We work in the probability space of ordered three-card hands. We need to add up the probability masses of the outcomes in the event consisting of all hands that include an ace. Since all the hands have the same probability, we can find this probability by counting the number of outcomes in ...
... Solution. We work in the probability space of ordered three-card hands. We need to add up the probability masses of the outcomes in the event consisting of all hands that include an ace. Since all the hands have the same probability, we can find this probability by counting the number of outcomes in ...
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.