Course:MATH103/Archive/2010-2011/207/Lectures/Lecture14

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Lecture 14

Readings For This Lecture

Keshet Course Notes:

  • Chapter 7, pages 137 to 146 (up to subsection 7.7)

Summary

Group 8: Add a summary of the lecture in this space. Include examples, discussion, and links to external sources, if desired.

Exercises

1. Suppose you have 6 books and you want to put 3 on the book shelves. how many possible arrange- ments are there?


2. How many ways are there to get a total of 8 by tossing two die simultaneously ? (consider that a 2 for dice #1 and a 6 for dice #2 is different from a 6 for dice #1 and a 2 for dice #2)



3. How many ways are there to get 3 times H and 2 times T by tossing a fair coin 5 times? What is the probability of getting 3 heads in 5 fair coin tosses?



4. How many words can be made from the word “calculus”? (These words do not have to have any meaning. For examples, “alcuclus”, “lcaluscu”.)


5. A biased coin has non-equal probabilities of tossing H or T. and . What is the probability of obtaining exactly 6 heads and 4 tails if you toss the coin 10 times.