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25 Oct 2021
Given information
Roll two fair dice. Each die has six faces.
Let 
be the event that either a three or four is rolled first, followed by even number. Let 
be the event that sum of the two rolls is at most seven. Are the events and mutually exclusive?
Step-by-step explanation
Step 1.
The sample space 
when two far dice are rolled is:
,
.
The set of possible outcomes of the event are:
The set of possible outcomes of the event are:
Observe that these two events have some outcomes in common, e.g. 
.
Therefore, the events are not mutually exclusive.
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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208
Solutions
Chapter
Section
- Problem 66f
- Problem 66g
- Problem 66h
- Problem 66j
- Problem 67b
- Problem 70
- Problem 71
- Problem 72
- Problem 73
- Problem 74
- Problem 75
- Problem 76
- Problem 77
- Problem 78
- Problem 79
- Problem 80a
- Problem 80b
- Problem 80c
- Problem 80d
- Problem 80e
- Problem 80f
- Problem 80g
- Problem 80h
- Problem 80i
- Problem 80j
- Problem 81a
- Problem 81b
- Problem 81c
- Problem 81d
- Problem 81e
- Problem 82a
- Problem 82b
- Problem 82c
- Problem 82d
- Problem 82e
- Problem 82f
- Problem 82g
- Problem 83a
- Problem 83b
- Problem 83c
- Problem 83d
- Problem 83e
- Problem 83f
- Problem 83g
- Problem 84a
- Problem 84b
- Problem 84c
- Problem 84d
- Problem 84e
- Problem 84f
- Problem 85a
- Problem 85b
- Problem 85c
- Problem 85d
- Problem 85e
- Problem 85f
- Problem 86a
- Problem 86b
- Problem 86c
- Problem 86d
- Problem 86e
- Problem 86f
- Problem 87a
- Problem 87b
- Problem 87c
- Problem 87d
- Problem 88a
- Problem 88b
- Problem 88c
- Problem 89a
- Problem 89b
- Problem 89c
- Problem 90a
- Problem 90b
- Problem 90c
- Problem 90d
- Problem 90e
- Problem 91
- Problem 92a
- Problem 92b
- Problem 92c
- Problem 93
- Problem 94a
- Problem 94b
- Problem 94c
- Problem 94d
- Problem 95a
- Problem 95b
- Problem 95c
- Problem 95d
- Problem 95e
- Problem 96
- Problem 97a
- Problem 97b
- Problem 98a
- Problem 98b
- Problem 98b
- Problem 99a
- Problem 99b
- Problem 99b
- Problem 100a
- Problem 100a
- Problem 100b
- Problem 100c
- Problem 100d
- Problem 100e
- Problem 101
- Problem 102
- Problem 103
- Problem 104
- Problem 105
- Problem 106
- Problem 107
- Problem 107a
- Problem 107b
- Problem 108
- Problem 109a
- Problem 109b
- Problem 109c
- Problem 109c
- Problem 109d
- Problem 109e
- Problem 109f
- Problem 109g
- Problem 110
- Problem 111
- Problem 112a
- Problem 112b
- Problem 112c
- Problem 112d
- Problem 112e
- Problem 112f
- Problem 112g
- Problem 113a
- Problem 113b
- Problem 113c
- Problem 113d
- Problem 113e
- Problem 114
- Problem 115
- Problem 116a
- Problem 116b
- Problem 116c
- Problem 116d
- Problem 116e
- Problem 116f
- Problem 127c