c) Suppose there is a deli with 5 types of sandwiches, 4 types of sides and 3 drinks. How many ways can you make one order of two different sandwiches a side and a drink? d) Suppose there is a deck of 100 cards uniquely numbered from 00 to 99 and you select three of them uniformly at random. What is the probability that for all three their second digit is the same, e.g. 24,44,64?
c) Suppose there is a deli with 5 types of sandwiches, 4 types of sides and 3 drinks. How many ways can you make one order of two different sandwiches a side and a drink? d) Suppose there is a deck of 100 cards uniquely numbered from 00 to 99 and you select three of them uniformly at random. What is the probability that for all three their second digit is the same, e.g. 24,44,64?
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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i need Part C and D solution needed
![7
Counting and Probability
Answer the following questions about counting and probability. You may leave answers in
the form of exponents, fractions and factorials, but not combinations or permutations.
Show your work.
a) Consider rolling two fair 6-sided dice. What is the conditional probability that the
sum of the two dice is at least 8 given the first dice is at most 4?
b) How many ways can you order 6 donuts from a shop that has 4 types {A, B,C, D} if
you can only order at most 3 donuts of type A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76fbdb8b-7bfc-48c4-99e5-e81330a4cccf%2Feb42501b-62ac-4d0b-9a42-f49040dc96fd%2Fj2x275f_processed.png&w=3840&q=75)
Transcribed Image Text:7
Counting and Probability
Answer the following questions about counting and probability. You may leave answers in
the form of exponents, fractions and factorials, but not combinations or permutations.
Show your work.
a) Consider rolling two fair 6-sided dice. What is the conditional probability that the
sum of the two dice is at least 8 given the first dice is at most 4?
b) How many ways can you order 6 donuts from a shop that has 4 types {A, B,C, D} if
you can only order at most 3 donuts of type A.
![c) Suppose there is a deli with 5 types of sandwiches, 4 types of sides and 3 drinks. How
many ways can you make one order of two different sandwiches a side and a drink?
d) Suppose there is a deck of 100 cards uniquely numbered from 00 to 99 and you select
three of them uniformly at random. What is the probability that for all three their
second digit is the same, e.g. 24,44,64?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76fbdb8b-7bfc-48c4-99e5-e81330a4cccf%2Feb42501b-62ac-4d0b-9a42-f49040dc96fd%2Fvfpmfqd_processed.png&w=3840&q=75)
Transcribed Image Text:c) Suppose there is a deli with 5 types of sandwiches, 4 types of sides and 3 drinks. How
many ways can you make one order of two different sandwiches a side and a drink?
d) Suppose there is a deck of 100 cards uniquely numbered from 00 to 99 and you select
three of them uniformly at random. What is the probability that for all three their
second digit is the same, e.g. 24,44,64?
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