There are n ≥ 3 friends sitting in a circle around a campfire, each with exactly one s’more. The friends then decide to exchange their s’mores. Each individual faces the following decision, independent of the others: with probability 1/3, he passes his s’more to the person to his left, and with probability 2/3, he passes his s’more to the person to his right. What is the expected number of people that will end up with no s’more? Please begin by describing the probability space.
There are n ≥ 3 friends sitting in a circle around a campfire, each with exactly one s’more. The friends then decide to exchange their s’mores. Each individual faces the following decision, independent of the others: with probability 1/3, he passes his s’more to the person to his left, and with probability 2/3, he passes his s’more to the person to his right. What is the expected number of people that will end up with no s’more? Please begin by describing the probability space.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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There are n ≥ 3 friends sitting in a circle around a campfire, each with exactly one s’more. The friends then decide to exchange their s’mores. Each individual faces the following decision, independent of the others: with probability 1/3, he passes his s’more to the person to his left, and with probability 2/3, he passes his s’more to the person to his right. What is the expected number of people that will end up with no s’more? Please begin by describing the probability space.
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