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(a) If two distinct bills are chosen at random, what is the probability that at least one was paid using two or more methods? (b) Suppose that a bill chosen at random and was paid using two or more methods. What is the probability it was paid with all three methods? (c) If a bill is chosen at random, what is the probability that the bill was paid fully using only one of the methods? (d) Suppose that a bill chosen at random was paid fully using only one of the methods. What is the probability the bill was paid by mobile payment?

(a) If two distinct bills are chosen at random, what is the probability that at least one was paid using two or more methods? (b) Suppose that a bill chosen at random and was paid using two or more methods. What is the probability it was paid with all three methods? (c) If a bill is chosen at random, what is the probability that the bill was paid fully using only one of the methods? (d) Suppose that a bill chosen at random was paid fully using only one of the methods. What is the probability the bill was paid by mobile payment?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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3. Modified Exercise 2.36 A restaurant offers three ways of paying the bill: cash, credit card, and mobile payment (e.g., Apple Pay, Google Wallet). At the end of the day there were 200 paid bills. Some of the bills were paid with a mix of cash, credit card, and mobile payment. There were 36 bills paid with cash, 82 bills paid with credit card, and 113 bills paid by mobile payment. There were 8 bills that used cash and credit card, 13 bills that used cash and mobile payment, and 15 bills that used credit card and mobile payment. Five of the bills were paid with all three methods. (a) If two distinct bills are chosen at random, what is the probability that at least one was paid using two or more methods? (b) Suppose that a bill chosen at random and was paid using two or more methods. What is the probability it was paid with all three methods? (c) If a bill is chosen at random, what is the probability that the bill was paid fully using only one of the methods? (d) Suppose that a bill chosen at random was paid fully using only one of the methods. What is the probability the bill was paid by mobile payment?
Transcribed Image Text:3. Modified Exercise 2.36 A restaurant offers three ways of paying the bill: cash, credit card, and mobile payment (e.g., Apple Pay, Google Wallet). At the end of the day there were 200 paid bills. Some of the bills were paid with a mix of cash, credit card, and mobile payment. There were 36 bills paid with cash, 82 bills paid with credit card, and 113 bills paid by mobile payment. There were 8 bills that used cash and credit card, 13 bills that used cash and mobile payment, and 15 bills that used credit card and mobile payment. Five of the bills were paid with all three methods. (a) If two distinct bills are chosen at random, what is the probability that at least one was paid using two or more methods? (b) Suppose that a bill chosen at random and was paid using two or more methods. What is the probability it was paid with all three methods? (c) If a bill is chosen at random, what is the probability that the bill was paid fully using only one of the methods? (d) Suppose that a bill chosen at random was paid fully using only one of the methods. What is the probability the bill was paid by mobile payment?
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