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(Created page with "The king's coinmaster boxes his coins 500 to a box and puts 1 counterfeit coin in each box. The king is suspicious, but, instead of testing all the coins in 1 box, he tests 2 coins at random from each of 250 boxes. What is the probability that he finds at least one fake? '''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,...") |
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The king's coinmaster boxes his coins 500 to a box and puts 1 counterfeit coin in each box. The king is suspicious, but, instead of testing all the | The king's coinmaster boxes his coins 500 to a box and puts 1 counterfeit coin in each box. The king is suspicious, but, instead of testing all the | ||
coins in 1 box, he tests 2 coins at random from each of 250 boxes. What is the probability that he finds at least one fake? | coins in 1 box, he tests 2 coins at random from each of 250 boxes. What is the probability that he finds at least one fake? | ||
<ul class="mw-excansopts"> | |||
<li>0.60</li> | |||
<li>0.63</li> | |||
<li>0.66</li> | |||
<li>0.69</li> | |||
<li>0.72</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 08:57, 26 June 2024
The king's coinmaster boxes his coins 500 to a box and puts 1 counterfeit coin in each box. The king is suspicious, but, instead of testing all the coins in 1 box, he tests 2 coins at random from each of 250 boxes. What is the probability that he finds at least one fake?
- 0.60
- 0.63
- 0.66
- 0.69
- 0.72
References
Doyle, Peter G. (2006). "Grinstead and Snell's Introduction to Probability" (PDF). Retrieved June 6, 2024.