10.5 independent events objective: find the probability of 2 or more independent events
DESCRIPTION
10.5 Independent Events Objective: Find the probability of 2 or more independent events. 2 events are INDEPENDENT if the occurrence or non-occurrence of one event has NO effect on the likelihood of the occurrence of the other event. - PowerPoint PPT PresentationTRANSCRIPT
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10.5 Independent Events
Objective: Find the probability of 2 or more independent events.
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2 events are INDEPENDENT if the occurrence or non-occurrence of one event has NO effect on the likelihood of the occurrence of the other event.
If the occurrence or non-occurrence of one event DOES affect the occurrence of the other event, then the events are DEPENDENT.
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Ex 4
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7. A number cube is rolled twice. Compare the following problems:1) Find the probability that the first roll is four and the
second roll is even.2) Find the probability that the first roll is four or the
second roll is even.
1) P( 4) and P(even) =
81
21
41
)()(
BPAP
2) P( 4) or P(even) =
43
21
41
)()(
BPAP
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Review of Independent Events
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10.6 Dependent Eventsand
Conditional Probability
Objective: Find conditional probabilities.
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KNOWING THE OUTCOME OF ONE EVENT CAN AFFECT THE PROBABILITYOF ANOTHER EVENT.
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SOMETIMES THE PROBABILITY OF THE SECOND EVENTCHANGES DEPENDING ON THE OUTCOME OF THE FIRST EVENT.
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.75
.6
.1554
.30
121