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 < | |||
<ul class="mw-excansopts"> | |||
<li>0.35</li> | |||
<li>0.4</li> | |||
<li>0.45</li> | |||
<li>0.5</li> | |||
<li>0.55</li> | |||
</ul> | |||
'''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}} | ||
Latest revision as of 00:06, 22 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.
- 0.35
- 0.4
- 0.45
- 0.5
- 0.55
References
Doyle, Peter G. (2006). "Grinstead and Snell's Introduction to Probability" (PDF). Retrieved June 6, 2024.