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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> 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 1 coin chosen at random out of each of 500 boxes. What is the probabilit...") |
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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 | |||
counterfeit coin in each box. The king is suspicious, but, instead of testing all the | |||
coins in 1 box, he tests 1 coin chosen at random out of each of 500 boxes. What is the | coins in 1 box, he tests 1 coin chosen at random out of each of 500 boxes. What is the | ||
probability that he finds at least one fake? What is it if the king tests 2 coins | probability that he finds at least one fake? What is it if the king tests 2 coins | ||
from each of 250 boxes? | from each of 250 boxes? | ||
Latest revision as of 00:10, 14 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 1 coin chosen at random out of each of 500 boxes. What is the probability that he finds at least one fake? What is it if the king tests 2 coins from each of 250 boxes?