A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Event A: An even number on the second roll Event B: Alternating even number and odd number (with either coming first) Event C: An odd number on each of the first two rolls EOO O O EOE U O OEE EEE O O Outcomes O O O O OEO 0 O O OOE 000 O O O U O O ΕΕΟ O U Probability X S
A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Event A: An even number on the second roll Event B: Alternating even number and odd number (with either coming first) Event C: An odd number on each of the first two rolls EOO O O EOE U O OEE EEE O O Outcomes O O O O OEO 0 O O OOE 000 O O O U O O ΕΕΟ O U Probability X S
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the
first roll, an even number on the second roll, and an even number on the third roll). The 8 outcomes are listed in the table
below. Note that each outcome has the same probability.
For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column,
enter the probability of the event.
Event A:
An even
number on
the second
roll
Event B:
Alternating
even
number
and odd
number
(with
either
coming
first)
Event C:
An odd
number on
each of
the first
two rolls
EOO EOE
O
O
O
O
O
OEE
O
O
O
Outcomes
EEE
O
O
OEO
U
O
OOE
O
O
000 ΕΕΟ
O
O
U
U
Probability
X
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