4 slides/page
... Suppose the experiment is repeated independently n times. • For example, the coin is tossed n times. ...
... Suppose the experiment is repeated independently n times. • For example, the coin is tossed n times. ...
1 slide/page
... Suppose you toss a coin that’s biased towards heads (Pr(heads) = 2/3) twice. How many heads do you expect to get? • In mathematics-speak: What’s the expected number of heads? What about if you toss the coin k times? What’s the average weight of the people in this classroom? • That’s easy: add the we ...
... Suppose you toss a coin that’s biased towards heads (Pr(heads) = 2/3) twice. How many heads do you expect to get? • In mathematics-speak: What’s the expected number of heads? What about if you toss the coin k times? What’s the average weight of the people in this classroom? • That’s easy: add the we ...
P(B/A)
... You put a CD that has 8 songs in your CD player. You set the player to play the songs at random. The player plays all 8 songs without repeating any song. ...
... You put a CD that has 8 songs in your CD player. You set the player to play the songs at random. The player plays all 8 songs without repeating any song. ...
DOC - MathsGeeks
... b) The outcomes for which both numbers are prime are shown in bold in the table above. There are 30 outcomes in the table and 9 have both numbers prime. The probability ...
... b) The outcomes for which both numbers are prime are shown in bold in the table above. There are 30 outcomes in the table and 9 have both numbers prime. The probability ...
probability - The Toppers Way
... When we toss a coin there are two possibilities, Head or Tail. Both these are the events. The flipping of a coin is the activity. Experiment: An act which can be repeated under some given conditions. Random Experiment: If in an experiment, all the possible outcomes are known in advance and none of t ...
... When we toss a coin there are two possibilities, Head or Tail. Both these are the events. The flipping of a coin is the activity. Experiment: An act which can be repeated under some given conditions. Random Experiment: If in an experiment, all the possible outcomes are known in advance and none of t ...
Study Guide Semester 2: 2nd 4.5 Exam Name: __
... 4. Drew spun a spinner with 5 equal sections 75 times. Each section of the spinner was a different color. One of the colors was blue. The outcome of “blue” occurred 30 times. Compare the theoretical to the experimental probability of spinning blue. (Show both fractions and compare them using the wo ...
... 4. Drew spun a spinner with 5 equal sections 75 times. Each section of the spinner was a different color. One of the colors was blue. The outcome of “blue” occurred 30 times. Compare the theoretical to the experimental probability of spinning blue. (Show both fractions and compare them using the wo ...
Summary of Chapter 5 Probability Modelsa
... event for this sample space might be rolling a 2. Another example of an event for this sample space might be rolling an even number (2, 4, or 6). The event rolling a 2 and the event rolling an even number are not disjoint (mutually exclusive) because rolling a 2 is also rolling an even number. Howev ...
... event for this sample space might be rolling a 2. Another example of an event for this sample space might be rolling an even number (2, 4, or 6). The event rolling a 2 and the event rolling an even number are not disjoint (mutually exclusive) because rolling a 2 is also rolling an even number. Howev ...
S1 Probability Questions June 2011
... A ball is drawn at random from bag P and placed in bag Q. A second ball is drawn at random from bag P and placed in bag Q. A third ball is then drawn at random from the 9 balls in bag Q. The event A occurs when the 2 balls drawn from bag P are of the same colour. The event B occurs when the ball dra ...
... A ball is drawn at random from bag P and placed in bag Q. A second ball is drawn at random from bag P and placed in bag Q. A third ball is then drawn at random from the 9 balls in bag Q. The event A occurs when the 2 balls drawn from bag P are of the same colour. The event B occurs when the ball dra ...
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.