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3. Piece of cake A cake is sliced roughly in half, the largest piece being chosen each time, the other pieces discarded. We will assume that a random cut creates pieces of proportions: P = { & B w.p. w.p. 384 Thus, for example, the first cut (and choice of largest piece) may result in a piece of size. Cutting and choosing from this piece might reduce it to size (3/3) (3/3) at time 2, and so on. How large, to first order in the exponent, is the piece of cake after n cuts?

3. Piece of cake A cake is sliced roughly in half, the largest piece being chosen each time, the other pieces discarded. We will assume that a random cut creates pieces of proportions: P = { & B w.p. w.p. 384 Thus, for example, the first cut (and choice of largest piece) may result in a piece of size. Cutting and choosing from this piece might reduce it to size (3/3) (3/3) at time 2, and so on. How large, to first order in the exponent, is the piece of cake after n cuts?

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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3. Piece of cake A cake is sliced roughly in half, the largest piece being chosen each time, the other pieces discarded. We will assume that a random cut creates pieces of proportions: P = 3 w.p. w.p. 4 Thus, for example, the first cut (and choice of largest piece) may result in a piece of size 3. Cutting and choosing from this piece might reduce it to size (3/3) (3/3) at time 2, and so on. How large, to first order in the exponent, is the piece of cake after n cuts?
Transcribed Image Text:3. Piece of cake A cake is sliced roughly in half, the largest piece being chosen each time, the other pieces discarded. We will assume that a random cut creates pieces of proportions: P = 3 w.p. w.p. 4 Thus, for example, the first cut (and choice of largest piece) may result in a piece of size 3. Cutting and choosing from this piece might reduce it to size (3/3) (3/3) at time 2, and so on. How large, to first order in the exponent, is the piece of cake after n cuts?
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