exercise:65ab35f324: Difference between revisions

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In the appeal of the  ''People v. Collins'' case (see [[exercise:84e5b5b6bf|Exercise]]), the counsel for the defense argued as follows: Suppose, for example, there are 5,00,00 couples in the Los Angeles area and the probability that a randomly chosen couple fits the witnesses' description is 1/12,00,00.  Then the probability that there are two such couples given that there is at least one is not at all small.  Find this probability.  (The California Supreme Court overturned the initial guilty verdict.)
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\newcommand{\mathds}{\mathbb}</math></div> In the appeal of the  ''People v.\ Collins'' case (see Exercise \ref{sec [[guide:448d2aa013#exer 4.1.26 |4.1}.]]),
the counsel for the defense argued as follows: Suppose, for example, there are 5,00,00
couples in the Los Angeles area and the probability that a randomly chosen couple fits the
witnesses' description is 1/12,00,00.  Then the probability that there are two such
couples given that there is at least one is not at all small.  Find this probability.  (The
California Supreme Court overturned the initial guilty verdict.)

Latest revision as of 01:17, 14 June 2024

In the appeal of the People v. Collins case (see Exercise), the counsel for the defense argued as follows: Suppose, for example, there are 5,00,00 couples in the Los Angeles area and the probability that a randomly chosen couple fits the witnesses' description is 1/12,00,00. Then the probability that there are two such couples given that there is at least one is not at all small. Find this probability. (The California Supreme Court overturned the initial guilty verdict.)