By Sheldon M. Ross

A First path in chance, 8th Edition, positive aspects transparent and intuitive causes of the maths of chance concept, extraordinary challenge units, and a number of varied examples and purposes. This booklet is perfect for an upper-level undergraduate or graduate point advent to likelihood for math, technology, engineering and enterprise scholars. It assumes a heritage in trouble-free calculus.

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Extra resources for A First Course in Probability (8th Edition)

Sample text

For instance, suppose 5 people are to be randomly selected from a group of 20 individuals consisting of 10 married couples, and we want to determine P(N), the probability that the 5 chosen are all unrelated. ) If we regard the sample space as the set of 5 people chosen, then there are 20 5 equally likely outcomes. An outcome that does not contain a married couple can be thought of as being the result of a six-stage experiment: In the first stage, 5 of the 10 couples to have a member in the group are chosen; in the next 5 stages, 1 of the 2 members 5 of each of these couples is selected.

If everyone shakes hands with everyone else, how many handshakes take place? 14. How many 5-card poker hands are there? 15. A dance class consists of 22 students, of which 10 are women and 12 are men. If 5 men and 5 women are to be chosen and then paired off, how many results are possible? 16. A student has to sell 2 books from a collection of 6 math, 7 science, and 4 economics books. How many choices are possible if (a) both books are to be on the same subject? (b) the books are to be on different subjects?

365 − n + 1)/(365)n . It is a rather surprising fact that when n Ú 23, this probability is less than 12 . That is, if there are 23 or more people in a room, then the probability that at least two of them have the same birthday exceeds 12 . Many people are initially surprised by this result, since 23 seems so small in relation to 365, the number of days of the year. However, 1 365 of having the same birthday, = every pair of individuals has probability 2 365 (365) 23 and in a group of 23 people there are = 253 different pairs of individuals.

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A First Course in Probability (8th Edition) by Sheldon M. Ross

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