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A six-sided die has four green and two red faces and is balanced so that each face is equally likely come up. The die will be rolled several times. You must choose one of the following three sequene of colours; you will win £25 if the first rolls of the die give the sequence that you have chosen. R GR RR R G RR RG G RRRRR

A six-sided die has four green and two red faces and is balanced so that each face is equally likely come up. The die will be rolled several times. You must choose one of the following three sequene of colours; you will win £25 if the first rolls of the die give the sequence that you have chosen. R GR RR R G RR RG G RRRRR

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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7. QUESTION: A six-sided die has four green and two red faces and is balanced so that each face is equally likely to come up. The die will be rolled several times. You must choose one of the following three sequences of colours; you will win £25 if the first rolls of the die give the sequence that you have chosen. G R R R. R GR R. R G R R R R R Without making any calculations, explain which sequence you choose. (In a psychological experiment, 63% of 260 students who had not studied probability chose the second sequence. This is evidence that our intuitive understanding of probability is not very accurate. This and other similar experiments are reported by A. Tversky and D. Kahneman, Extensional versus intuitive reasoning: The conjunction fallacy in probability judgment, Psychological Review 90 (1983), pp. 293-315.) RRG
Transcribed Image Text:7. QUESTION: A six-sided die has four green and two red faces and is balanced so that each face is equally likely to come up. The die will be rolled several times. You must choose one of the following three sequences of colours; you will win £25 if the first rolls of the die give the sequence that you have chosen. G R R R. R GR R. R G R R R R R Without making any calculations, explain which sequence you choose. (In a psychological experiment, 63% of 260 students who had not studied probability chose the second sequence. This is evidence that our intuitive understanding of probability is not very accurate. This and other similar experiments are reported by A. Tversky and D. Kahneman, Extensional versus intuitive reasoning: The conjunction fallacy in probability judgment, Psychological Review 90 (1983), pp. 293-315.) RRG
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