The probability of another individual event is
1
15
.
The probability of an individual event where
D
is ranked first is
1

12
.
The probability of another individual event is
1
4
.
(b) What is the probability that
C
is ranked first? (Round your answer to three decimal
places.)
3
(c) What is the probability that

C
is ranked first and
D
is ranked last? (Round your answer to three decimal places.)
4
0
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A box contains six 40-W bulbs, four 60-W bulbs, and eight
75-W bulbs. If bulbs are selected one by one in random order,
what is the probability that at least two bulbs must be
selected to obtain one that is rated 75 W? (Round your
answer to three decimal places.)
1
0
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Human visual inspection of solder joints on printed circuit
boards can be very subjective. Part of the problem stems from
the numerous types of solder defects (e.g., pad non-wetting,
knee visibility, voids) and even the degree to which a joint
possesses one or more of these defects. Consequently, even
highly trained inspectors can disagree on the disposition of a
particular joint. In one batch of 10,000 joints, inspector A
found 720 that were judged defective, inspector B found 756
such joints, and 1328 of the joints were judged defective by
at least one of the inspectors. Suppose that one of the 10,000
joints is randomly selected.
(a) What is the probability that the selected joint was judged
to be defective by neither of the two inspectors? (Enter your
answer to four decimal places.)
1
(b) What is the probability that the selected joint was judged
to be defective by inspector B but not by inspector A? (Enter
your answer to four decimal places.)
2

0
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A certain factory operates three different shifts. Over the
last year, 200 accidents have occurred at the factory. Some of
these can be attributed at least in part to unsafe working
conditions, whereas the others are unrelated to working
conditions. The accompanying table gives the percentage of
accidents falling in each type of accident-shift category.

Unsafe
Conditions
Unrelated
to Conditions
Day
13%
32%
Shift
Swing
9%

13%
Night
2%
31%
Suppose one of the 200 accident reports is randomly
selected from a file of reports, and the shift and type of
accident are determined.