exercise:Fb20361076: Difference between revisions
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(Created page with "The probability that a coin is in the <math>i</math>th box is <math>1/(i+1)</math>. If you search in the <math>i</math>th box and it is there, you find it with probability <math>i/(1+i)</math>. Determine the probability <math>p</math> that the coin is in the <math>j</math>th box, given that you have looked in the <math>i</math>th box and not found it. '''References''' {{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introd...") |
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The probability that a coin is in the <math>i</math>th box is <math>1/(i+1)</math>. If you search in the <math>i</math>th box and it is there, you find it with probability <math>i/(1+i)</math>. Determine the probability | The probability that a coin is in the <math>i</math>th box is <math>1/(i+1)</math>. If you search in the <math>i</math>th box and it is there, you find it with probability <math>i/(1+i)</math>. Determine the probability that the coin is in second box, given that you have looked in the fourth box and not found it. | ||
box, given that you have looked in the | |||
'''References''' | '''References''' | ||
{{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introduction to Probability |last=Doyle |first=Peter G.|date=2006 |access-date=June 6, 2024}} | {{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introduction to Probability |last=Doyle |first=Peter G.|date=2006 |access-date=June 6, 2024}} | ||
Revision as of 20:19, 21 June 2024
The probability that a coin is in the [math]i[/math]th box is [math]1/(i+1)[/math]. If you search in the [math]i[/math]th box and it is there, you find it with probability [math]i/(1+i)[/math]. Determine the probability that the coin is in second box, given that you have looked in the fourth box and not found it.
References
Doyle, Peter G. (2006). "Grinstead and Snell's Introduction to Probability" (PDF). Retrieved June 6, 2024.