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important? c) How many different words can you make from the letters in the word MISSISSIPPI?

important? c) How many different words can you make from the letters in the word MISSISSIPPI?

A First Course in Probability (10th Edition)
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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Answer question 9c. Write out each step and explain what you are doing.
8. In how many ways can 6 hockey players be chosen from a group of 12 if the playing positions are a) considered? b) not considered? 9. a) In how many ways can you choose 3 letters from the word LOGARITHM if the order of letters is unimportant? b) In how many ways can you choose 6 letters from LOGARITHM if the order of letters is unimportant? c) How many different words can you make from the letters in the word MISSISSIPPI? 10. If a 3-letter "word" is formed by randomly choosing 3 letters from the word PAINTED, what is the probability that it is composed only of vowels? T' 3 11. From a group consisting of Alvin, Bob, Carol and Donna, two people are to be randomly selected to serve on a committee. a) Find the probability that Bob and Carol are selected. b) Find the probability that Carol is not selected. 12. A coin is slightly bent so that the probability of getting "heads" on a toss is 0.55 instead of 0.50. a) Draw a tree-diagram showing the probabilities for two tosses of the coin. b) Find P{H,H), P{H,T}, P{T, H}, and P{T,T}. 13. Five cards are drawn at random from a standard deck. Find the probability that all 5 cards are hearts. 14. Five cards are drawn at random from a standard deck. Find the probability that exactly 2 are hearts. Express your answer in decimal form. 15. Thirteen cards are dealt from a well-shuffled standard deck. What is the probability of getting: a) all clubs? b) no clubs? c) at least one club? 16. Thirteen cards are dealt from a well-shuffled standard deck. What is the probability that the 13 cards contain exactly 4 aces and exactly 3 kings? + Order not otw Suzamin doesn't
Transcribed Image Text:8. In how many ways can 6 hockey players be chosen from a group of 12 if the playing positions are a) considered? b) not considered? 9. a) In how many ways can you choose 3 letters from the word LOGARITHM if the order of letters is unimportant? b) In how many ways can you choose 6 letters from LOGARITHM if the order of letters is unimportant? c) How many different words can you make from the letters in the word MISSISSIPPI? 10. If a 3-letter "word" is formed by randomly choosing 3 letters from the word PAINTED, what is the probability that it is composed only of vowels? T' 3 11. From a group consisting of Alvin, Bob, Carol and Donna, two people are to be randomly selected to serve on a committee. a) Find the probability that Bob and Carol are selected. b) Find the probability that Carol is not selected. 12. A coin is slightly bent so that the probability of getting "heads" on a toss is 0.55 instead of 0.50. a) Draw a tree-diagram showing the probabilities for two tosses of the coin. b) Find P{H,H), P{H,T}, P{T, H}, and P{T,T}. 13. Five cards are drawn at random from a standard deck. Find the probability that all 5 cards are hearts. 14. Five cards are drawn at random from a standard deck. Find the probability that exactly 2 are hearts. Express your answer in decimal form. 15. Thirteen cards are dealt from a well-shuffled standard deck. What is the probability of getting: a) all clubs? b) no clubs? c) at least one club? 16. Thirteen cards are dealt from a well-shuffled standard deck. What is the probability that the 13 cards contain exactly 4 aces and exactly 3 kings? + Order not otw Suzamin doesn't
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How did you make the permutation equation. I understand why its a permutatiuon and how you got 11, 4,4 , and 2 but why and how are you putting it into the bottom equation?

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