There are two spinners containing only white and yellow slices.Spinner A has 9 yellow slices and 6 white slices.All the slices are the same size.Spinner B has 11 yellow slices and 9 white slices.All the slices are the same size.Each spinner is spun.List these events from least likely to most likely.Event 1: Spinner B lands on a yellow slice.Event 2: Spinner A lands on a yellow slice.Event 3: Spinner A lands on a blue slice.Event 4: Spinner B lands on a yellow or white slice.Least likely Most likelyEvent , Event , Event , Event
Question
There are two spinners containing only white and yellow slices.Spinner A has 9 yellow slices and 6 white slices.All the slices are the same size.Spinner B has 11 yellow slices and 9 white slices.All the slices are the same size.Each spinner is spun.List these events from least likely to most likely.Event 1: Spinner B lands on a yellow slice.Event 2: Spinner A lands on a yellow slice.Event 3: Spinner A lands on a blue slice.Event 4: Spinner B lands on a yellow or white slice.Least likely Most likelyEvent , Event , Event , Event
Solution
To answer this question, we first need to calculate the probability of each event.
Event 1: Spinner B lands on a yellow slice. The total number of slices in Spinner B is 11 (yellow) + 9 (white) = 20. So, the probability of landing on a yellow slice is 11/20 = 0.55.
Event 2: Spinner A lands on a yellow slice. The total number of slices in Spinner A is 9 (yellow) + 6 (white) = 15. So, the probability of landing on a yellow slice is 9/15 = 0.6.
Event 3: Spinner A lands on a blue slice. There are no blue slices in Spinner A, so the probability of this event is 0.
Event 4: Spinner B lands on a yellow or white slice. Since the spinner only has yellow and white slices, the probability of landing on either is 1 (certain).
Now, we can list the events from least likely to most likely:
Least likely: Event 3 (Spinner A lands on a blue slice) Next: Event 1 (Spinner B lands on a yellow slice) Next: Event 2 (Spinner A lands on a yellow slice) Most likely: Event 4 (Spinner B lands on a yellow or white slice)
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