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 positionsarea) considered?b) not considered?9. a) In how many ways can you choose 3 letters from the word LOGARITHM if the order ofletters is unimportant?b) In how many ways can you choose 6 letters from LOGARITHM if the order of letters isunimportant?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, whatis the probability that it is composed only of vowels?T'311. From a group consisting of Alvin, Bob, Carol and Donna, two people are to be randomlyselected 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 of0.50.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 arehearts.14. Five cards are drawn at random from a standard deck. Find the probability that exactly 2 arehearts. Express your answer in decimal form.15. Thirteen cards are dealt from a well-shuffled standard deck. What is the probability ofgetting: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 the13 cards contain exactly 4 aces and exactly 3 kings?+ Ordernot otwSuzamindoesn't

9)c) Given letter is "MISSISSIPPI"Total no.of letters in the word(n) = 11no.of times letter "I"…

Answered: important? c) How many different words…

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

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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Question

100%

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

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