Thumbtacks When a certain type of thumbtack is tossed, the probability that it lands tip up is 60%, and the probability that it lands tip down is 40%. All possible outcomes when two thumbtacks are tossed are listed. U means the tip is Up, and D means the tip is Down. UU UD DU DD a. What is the probability of getting exactly one Down? b. What is the probability of getting two Downs? c. What is the probability of getting at least one Down (one or more Downs)? d. What is the probability of getting at most one Down (one or fewer Downs)?
Thumbtacks When a certain type of thumbtack is tossed, the probability that it lands tip up is 60%, and the probability that it lands tip down is 40%. All possible outcomes when two thumbtacks are tossed are listed. U means the tip is Up, and D means the tip is Down. UU UD DU DD a. What is the probability of getting exactly one Down? b. What is the probability of getting two Downs? c. What is the probability of getting at least one Down (one or more Downs)? d. What is the probability of getting at most one Down (one or fewer Downs)?
Solution Summary: The author calculates the probability that thumbtack lands up and down. The probability of getting two downs is 0.16.
Thumbtacks When a certain type of thumbtack is tossed, the probability that it lands tip up is 60%, and the probability that it lands tip down is 40%. All possible outcomes when two thumbtacks are tossed are listed. U means the tip is Up, and D means the tip is Down.
UU UD DU DD
a. What is the probability of getting exactly one Down?
b. What is the probability of getting two Downs?
c. What is the probability of getting at least one Down (one or more Downs)?
d. What is the probability of getting at most one Down (one or fewer Downs)?
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Part (b)
Draw a scatter plot of the ordered pairs.
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Life
Expectancy
Life
Expectancy
80
70
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50
40
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20
10
Year of
1950
1970 1990
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Life
Expectancy
Part (c)
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1970 1990
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Year of
2010 Birth
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Life
Expectancy
Ox
800
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Year of
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Duke University
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University of Tokyo
Georgia Institute of Technology
Pohang University of Science and Technology
University of California, Santa Barbara
University of British Columbia
University of North Carolina at Chapel Hill
University of California, San Diego
University of Illinois at Urbana-Champaign
National University of Singapore
McGill…
Name
Harvard University
California Institute of Technology
Massachusetts Institute of Technology
Stanford University
Princeton University
University of Cambridge
University of Oxford
University of California, Berkeley
Imperial College London
Yale University
University of California, Los Angeles
University of Chicago
Johns Hopkins University
Cornell University
ETH Zurich
University of Michigan
University of Toronto
Columbia University
University of Pennsylvania
Carnegie Mellon University
University of Hong Kong
University College London
University of Washington
Duke University
Northwestern University
University of Tokyo
Georgia Institute of Technology
Pohang University of Science and Technology
University of California, Santa Barbara
University of British Columbia
University of North Carolina at Chapel Hill
University of California, San Diego
University of Illinois at Urbana-Champaign
National University of Singapore…
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