STAT/MA 416
August 29, 2011
Problem Set 4
Name:
1. Choosing a page at random.
A student buys a brand new calculus textbook that has 1000 pages, numbered from 1 to
1000, of course. She randomly opens the book to a page and starts to read! Assume that
any of the 1000 pages are equally likely to be chosen.
Let
B
be the event that
at least one
of the digits on the chosen page is a “5” (for example,
the page could be 572 or 505 or 355 or 115 etc., etc.). Let
C
be the event that
at least two
of the digits on the chosen page are “5” (for example, 355 or 575, etc.).
(a.) Given that
B
occurs, ﬁnd the conditional probability of
A
, the event that 555 is the
selected page.
(b.) Given that
C
occurs, ﬁnd the conditional probability of
A
, the event that 555 is the
selected page.
1
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View Full Document2. Socks.
A matching pair of blue socks, a matching pair of red socks, and one lone white
rightfooted sock are in a drawer.
Suppose that a person is looking for the two matching blue socks. He blindly pulls two
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 Fall '08
 Staff
 Conditional Probability, Probability, Probability theory, Edna, Doug

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