exercise:90ea19f154: Difference between revisions
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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> It is desired to find the probability that in a bridge deal each player receives an ace. A student argues as follows. It does not matter where the first ace goes. The second ace must go to one of the other three players and this occurs with pro...") |
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It is desired to find the probability that in a bridge deal each player receives an ace. A student argues as follows. It does not matter where the | |||
receives an ace. A student argues as follows. It does not matter where the | |||
first ace goes. The second ace must go to one of the other three players and | first ace goes. The second ace must go to one of the other three players and | ||
this occurs with probability 3/4. Then the next must go to one of two, an | this occurs with probability 3/4. Then the next must go to one of two, an | ||
Latest revision as of 23:46, 12 June 2024
It is desired to find the probability that in a bridge deal each player receives an ace. A student argues as follows. It does not matter where the first ace goes. The second ace must go to one of the other three players and this occurs with probability 3/4. Then the next must go to one of two, an event of probability 1/2, and finally the last ace must go to the player who does not have an ace. This occurs with probability 1/4. The probability that all these events occur is the product [math](3/4)(1/2)(1/4) = 3/32[/math]. Is this argument correct?