Concept explainers
An urn contains four balls numbered 1 through 4. The balls are selected one at a time without replacement.
A match occurs if the ball numbered m is the, mth ball selected. Let the
(a) Show that
(b) Show that
(c) Show that
(d) Show that the probability of at least one match is
(e) Extend this exercise so that there are 1, halls in the urn.
Show that the probability of at least one match is
(f) What is the limit of this probability as n increases without bound?
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Probability and Statistical Inference (9th Edition)
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