On Blackchurch High Street there are twocompeting restaurants: Bayes' Burgers andKolm's Kebabs. You notice that on any particularday, Bayes' Burgers is closed with probability0.14, while Kolm's Kebabs is open withprobability 0.7. Given Kolm's Kebab's is open,Bayes' Burgers is open with probability 0.92.Using the inclusion-exclusion principle, orotherwise, determine the probability that atleast one of the restaurants is open. [Enter theanswer correct to two decimal places.]Answer:

Solution:- The inclusion-exclusion principle can be used to calculate the probability of the union…

Answered: probability 0.7. Given Kolm's Kebab's…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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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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Assume you have a typical fair 6-sided die. That is to say, it has sides 1, 2, 3, 4, 5, 6 and each side has probability of 1/6 of occurring. You are to roll the die twice, and record the maximum, M, of the two 6 rolls. If you roll a 2 and a 3 (or a 3 and a 2), then M = 3. If you roll a 4 and a 4, then M = 4. The rolls are independent of each other. a. What is the variance of M, var(M). b. Given that the maximum rolled is a 4, what is the probability that one of the rolls was a 2 ?
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probability 0.7. Given Kolm's Kebab's is open, Bayes' Burgers is open with probability 0.92. Using the inclusion-exclusion principle, or otherwise, determine the probability that at least one of the restaurants is open. [Enter the