Understanding likelihood

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School

Bellevue College *

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Course

107

Subject

Statistics

Date

May 13, 2024

Type

pdf

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2

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1/7/24, 12:04 PM ALEKS https://www-awa.aleks.com/alekscgi/x/Isl.exe/13upO5f1-5bb7x0fp-s6yj2iWsev1yKbL6v74loedHJ_S0ptVQH25CoMHU3yyTV3vIlZxn3FF-VNAub5Zwu… 1/2 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
1/7/24, 12:04 PM ALEKS https://www-awa.aleks.com/alekscgi/x/Isl.exe/13upO5f1-5bb7x0fp-s6yj2iWsev1yKbL6v74loedHJ_S0ptVQH25CoMHU3yyTV3vIlZxn3FF-VNAub5Zwu… 2/2 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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