Understanding likelihood
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Student Name : Denise Widell
Date: 01/07/2024 12:04 PM
Login Name : DWIDELL7
Class Name : Pre-Statistics
Probability
Understanding likelihood
SAMPLE QUESTION
There are two spinners containing only yellow and black slices.
Spinner A
has black slices and yellow slices.
All the slices are the same size.
Spinner B
has black slices and yellow slices.
All the slices are the same size.
Each spinner is spun.
List these events from least likely to most likely.
Event : Spinner A lands on a black or yellow slice.
Event : Spinner A lands on a black slice.
Event : Spinner B lands on a black slice.
Event : Spinner B lands on a white slice.
EXPLANATION
An event is more likely
when it has a greater probability
of happening.
So we must find the probabilities of the four events.
Event : Spinner A lands on a black or yellow slice.
The probability of this event is .
Event : Spinner A lands on a black slice.
4
12
3
5
1
2
3
4
Least likely
Most likely
Event
, Event
, Event
, Event
1
=
16
16
1
2
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The probability of this event is .
Event : Spinner B lands on a black slice.
The probability of this event is .
Event : Spinner B lands on a white slice.
The probability of this event is .
Here are the probabilities from least to greatest.
, , , (Event )
(Event )
(Event )
(Event )
This gives the order of the events from least likely to most likely.
ANSWER
Least likely
Most likely
Event , Event , Event , Event =
4
16
0.25
3
=
3
8
0.375
4
=
0
8
0
0
0.25
0.375
1
4
2
3
1
4
2
3
1
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