5. In how many ways can five dogs and seven cats be ordered in a row? (For example, "dccdcdcddcce" is one such ordering.) 6. A coin is tossed fiftoon times
5. In how many ways can five dogs and seven cats be ordered in a row? (For example, "dccdcdcddcce" is one such ordering.) 6. A coin is tossed fiftoon times
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:5. In how many ways can five dogs and seven cats be ordered in a row? (For example, "dccdcdcddcce" is
one such ordering.)
6. A coin is tossed fifteen times.
a. How many sequences of heads and tails are possible? (e.g. "httttttthhhtht")
b. How many sequences are possible that result in a total of two heads? (e.g. "ttthtttthtttttt")
c. How many sequences are possible that result in a total of seven heads?
7. A die is rolled seven times.
a. How many sequences of results are possible? (e.g. "5211523")
b. How many sequences are possible that result in a total of six 3s? (e.g. "3333353")
c. How many sequences are possible that result in a total of three 5s and two 6s? (e.g. "5265561")
8. A fair coin is tossed ten times. What is the probability of obtaining the following outcomes?
# of heads:
probability:
10
9
8
7
9. A fair coin is tossed fifty times. What is the probability of obtaining...
a. fifty heads?
b. twenty-five heads?
6
5
10. There are twelve calico cats and seven tabby cats. In how many ways can the cats line up if no two
tabby cats can stand next to each other?
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