C. If you could help, that would be great! It involves discrete math! On a Saturday, a hundred students have ordered tacos and they are ready to be picked up.Everyone has ordered different tacos and they are all clearly labeled. The students file in a lineone at a time to pick up their orders. Unfortunately, you are the last one on line.However, the first student in line randomly picks from the pile of tacos instead of grabbing theirorder. As the students come in, if their order is there, they take it; but if it isn't there, they grab arandom order.Then, you wonder: what is the probability that you are going to get your tacos without it beingtaken by another student?Let's consider this situation in the following way: N students line up for their tacos, and you arethe last in line. The first student grabs a taco at random, and every student afterwards either takestheir own taco or grabs one randomly. Define R(N) to be the probability that you get your owntaco in this situation. N-1R(N)R(i)Hint: R(N) is the probability of the event. How can you break it down into smaller, moretractable probabilities?4. Express R(N + 1) in terms of only R(N)5. What is R(100)? What is R(1000)?

Answered: Image /qna-images/answer/013e475b-482f-4c5d-b1c4-ea745e6d81f0.jpg

N-1 R(N) R(i) Hint: R(N) is the probability of the event. How can you break it down into smaller, more tractable probabilities? 4. Express R(N + 1) in terms of only R(N) 5. What is R(100)? What is R(1000)?

N-1 R(N) R(i) Hint: R(N) is the probability of the event. How can you break it down into smaller, more tractable probabilities? 4. Express R(N + 1) in terms of only R(N) 5. What is R(100)? What is R(1000)?

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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