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23 Oct 2021
Given information
Roll two fair dice. Each die has six faces.
is the event that either a three or four is rolled first, followed by an even number.
is the event that the sum of the two rolls is at most seven.
Step-by-step explanation
Step 1.
is the probability of event occurring, given that event occurs.
In the given situation when:
is the event that either a three or four is rolled first, followed by an even number.
is the event that the sum of the two rolls is at most seven.
is the probability that either a three or four is rolled first, followed by an even number, given that the sum of the two rolls is at most seven.
Consider the sample space 
as follows:
,
.
The set of event occurring is:
The set of event occurring is:
Therefore,
Consider the formula:
, then
.
Hence,
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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