4. A bag of fast-food sandwiches contains two hamburgers, four cheeseburgers, and three chicken burgers. If Wyatt ordered a cheeseburger and a chicken burger, what is the probability that a) the first sandwich selected will be one of his choices? b) neither of the first two sandwiches will be among Wyatt's choices? 5. Petra has mastered the proofs for six of ten theorems. Two of the theorems will appear as questions on the final examination. What is the probability that a) neither of the proofs on the examination will be among those Petra mastered? b) at least one of the mastered proofs will appear on the examination? 6. A pizza contains three toppings randomly selected from the following choices: pepperoni, mushrooms, green peppers, ham, bacon, and onions. Manuel enjoys all toppings, except bacon and onions. What is the likelihood that a pizza will contain a) no toppings that Manuel dislikes? b) exactly one topping that Manuel dislikes? c) at least one topping that Manuel dislikes? 7. A CD club has a special offer in which each member will receive two of the top ten selling CDs from last year, one in each of the next two monthly shipments. What is the probability that a member will receive two of the top five selling CDs? a) b) What is the probability that a member will receive the number one selling CD in the first month, followed by the number two selling CD? c) What assumptions must be made in parts a) and b)? 8. A volleyball team consists of nine players, six of whom are on the court at any given time. If the starting line-up is randomly chosen, what is the probability that a) the captain and both alternate captains will start the game? b) none of the three team leaders will start the game?
4. A bag of fast-food sandwiches contains two hamburgers, four cheeseburgers, and three chicken burgers. If Wyatt ordered a cheeseburger and a chicken burger, what is the probability that a) the first sandwich selected will be one of his choices? b) neither of the first two sandwiches will be among Wyatt's choices? 5. Petra has mastered the proofs for six of ten theorems. Two of the theorems will appear as questions on the final examination. What is the probability that a) neither of the proofs on the examination will be among those Petra mastered? b) at least one of the mastered proofs will appear on the examination? 6. A pizza contains three toppings randomly selected from the following choices: pepperoni, mushrooms, green peppers, ham, bacon, and onions. Manuel enjoys all toppings, except bacon and onions. What is the likelihood that a pizza will contain a) no toppings that Manuel dislikes? b) exactly one topping that Manuel dislikes? c) at least one topping that Manuel dislikes? 7. A CD club has a special offer in which each member will receive two of the top ten selling CDs from last year, one in each of the next two monthly shipments. What is the probability that a member will receive two of the top five selling CDs? a) b) What is the probability that a member will receive the number one selling CD in the first month, followed by the number two selling CD? c) What assumptions must be made in parts a) and b)? 8. A volleyball team consists of nine players, six of whom are on the court at any given time. If the starting line-up is randomly chosen, what is the probability that a) the captain and both alternate captains will start the game? b) none of the three team leaders will start the game?
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:4. A bag of fast-food sandwiches contains two hamburgers, four cheeseburgers,
and three chicken burgers. If Wyatt ordered a cheeseburger and a chicken
burger, what is the probability that
a) the first sandwich selected will be one of his choices?
b) neither of the first two sandwiches will be among Wyatt's choices?
5. Petra has mastered the proofs for six of ten theorems. Two of the theorems
will appear as questions on the final examination. What is the probability that
a) neither of the proofs on the examination will be among those Petra mastered?
b) at least one of the mastered proofs will appear on the examination?
6.
A pizza contains three toppings randomly selected from the following choices:
pepperoni, mushrooms, green peppers, ham, bacon, and onions. Manuel enjoys all
toppings, except bacon and onions. What is the likelihood that a pizza will contain
a) no toppings that Manuel dislikes?
b) exactly one topping that Manuel dislikes?
c) at least one topping that Manuel dislikes?
7. A CD club has a special offer in which each member will receive two of the top
ten selling CDs from last year, one in each of the next two monthly shipments.
What is the probability that a member will receive two of the top five
selling CDs?
a)
b)
What is the probability that a member will receive the number one
selling CD in the first month, followed by the number two selling CD?
c) What assumptions must be made in parts a) and b)?
8. A volleyball team consists of nine players, six of whom are on the court at any given
time. If the starting line-up is randomly chosen, what is the probability that
a) the captain and both alternate captains will start the game?
b) none of the three team leaders will start the game?
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