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Q.1\ Suppose that I want to purchase a tablet computer. I can choose either a large or small screen; a 64GB, 128GB, or 256GB storage capacity, and black or white cover. How many differe nt options do I have.

Q.1\ Suppose that I want to purchase a tablet computer. I can choose either a large or small screen; a 64GB, 128GB, or 256GB storage capacity, and black or white cover. How many differe nt options do I have.

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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Assignment 2 Q.1\ Suppose that I want to purchase a tablet computer. I can choose either a large or small screen; a 64GB, 128GB, or 256GB storage capacity, and black or white cover. How many different options do I have. Q.2\ I need to choose a password for a computer account. The rule is that the password must consist of two lowercase letter (a to z) followed by one capital letter (A to Z) followed by four digits (0,1,.,9) for example, the following is a valid password: rgM2808. Find the total number of possible passwords, N. Q.3\ Shuffle a deck of 52 cards. How many outcomes are possible? (In other words, how many different ways can you order 52 distinct cards?) Q.4| I choose 3 cards from the standard deck of cards. What is the probability that these cards contain at least one ace? Q.5\ How many distinct sequence can we make using 3 letters "A"s and 5 letters "B"s? (АААВВВВB, ААВBBBBA, etc.) Q.6\ Suppose that I have a coin for which P(H)-p and P(T)=1-p. I toss the coin 5 times. a) What is the probability that the outcomes is THHHH? b) What is the probability that the outcomes HTHHH? c) What is the probability that the outcome HHHHT? d) What is the probability that I will observe exactly four heads and one tails? e) What is the probability that I will observe three heads and two tails? Q.7\ Ten people have a potluck. Five people will be selected to bring the main dishes, three people will bring drinks, and two people will bring desert. How many ways can they be divided into these three groups? Q.8\ A box contain 30 red balls and 70 green balls. What is the pro ility of getting exactly k red balls in a sample of size 20 if the sampling is done with replacement? Assume 0<k<20.
Transcribed Image Text:Assignment 2 Q.1\ Suppose that I want to purchase a tablet computer. I can choose either a large or small screen; a 64GB, 128GB, or 256GB storage capacity, and black or white cover. How many different options do I have. Q.2\ I need to choose a password for a computer account. The rule is that the password must consist of two lowercase letter (a to z) followed by one capital letter (A to Z) followed by four digits (0,1,.,9) for example, the following is a valid password: rgM2808. Find the total number of possible passwords, N. Q.3\ Shuffle a deck of 52 cards. How many outcomes are possible? (In other words, how many different ways can you order 52 distinct cards?) Q.4| I choose 3 cards from the standard deck of cards. What is the probability that these cards contain at least one ace? Q.5\ How many distinct sequence can we make using 3 letters "A"s and 5 letters "B"s? (АААВВВВB, ААВBBBBA, etc.) Q.6\ Suppose that I have a coin for which P(H)-p and P(T)=1-p. I toss the coin 5 times. a) What is the probability that the outcomes is THHHH? b) What is the probability that the outcomes HTHHH? c) What is the probability that the outcome HHHHT? d) What is the probability that I will observe exactly four heads and one tails? e) What is the probability that I will observe three heads and two tails? Q.7\ Ten people have a potluck. Five people will be selected to bring the main dishes, three people will bring drinks, and two people will bring desert. How many ways can they be divided into these three groups? Q.8\ A box contain 30 red balls and 70 green balls. What is the pro ility of getting exactly k red balls in a sample of size 20 if the sampling is done with replacement? Assume 0<k<20.
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