A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning 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: No even numbers on the first two rolls Event C: An even number on the second roll or the third roll (or both) EOE OEE EEO O O O O Outcomes OOE OEO U 0 0 U O 000 U U U EOO U U O EEE U U Probability 0 0

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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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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:
No even
numbers
on the first
two rolls
Event C:
An even
number on
the second
roll or the
third roll
(or both)
EOE
O
O
O
OEE ΕΕΟ
O
O
O
O
O
U
Outcomes
OOE
U
O
OEO
O
O
O
000
O
O
EOO
O
O
EEE
U
U
U
Probability
0
00
X
S
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: No even numbers on the first two rolls Event C: An even number on the second roll or the third roll (or both) EOE O O O OEE ΕΕΟ O O O O O U Outcomes OOE U O OEO O O O 000 O O EOO O O EEE U U U Probability 0 00 X S
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