5. In how many ways can five dogs and seven cats be ordered in a row? (For example, "dccdcdcddcce" isone 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:109879. A fair coin is tossed fifty times. What is the probability of obtaining...a. fifty heads?b. twenty-five heads?6510. There are twelve calico cats and seven tabby cats. In how many ways can the cats line up if no twotabby cats can stand next to each other?

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Answered: 5. In how many ways can five dogs and…

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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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