Revision as of 20:17, 21 June 2024 by Admin (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...")
ABy Admin
Jun 21'24
Exercise
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
Doyle, Peter G. (2006). "Grinstead and Snell's Introduction to Probability" (PDF). Retrieved June 6, 2024.