A wheel has 10 equally sized slices numbered from 1 to 10.
Some are grey and some are white.
The slice numbered 3 is grey.
The slices numbered 1, 2, 4, 5, 6, 7, 8, 9, and 10 are white.
9
101 1
9 2
8
3
7
4
6 5
The wheel is spun and stops on a slice at random.
Let X be the event that the wheel stops on a white slice, and let P(X) be the
probability of X
Let not X be the event that the wheel stops on a slice that is not white, and let
P(not X) be the probability of not X.
(a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, entert
Outcomes
Event
Probability
1 2 3 4 5 6 7 8
9 10
Х
$
?
X
0000000000
P(x) = 1

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The random probability of event X, wheel stopping on a white slice is 0.9 while the probability of not X, wheel stopping on Grey slice is 0.1

  • Total numbers on wheel = total possible outcomes = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

  • Grey colored portion = {3}

  • White colored portion = {1, 2, 4, 5, 6, 7, 8, 9, 10}

  • X = Event that wheel stops on a white slice

  • P(X) = number of white slices ÷ total number of slices

  • P(X) = 9 / 10 = 0.9

  • P(not X) = 1 - P(X)

  • P(not X) = 1 - 0.9 = 0.1

Therefore, the probability that wheel stops on a white slice is 0.9 while, the probability that wheel does not stop on a white slice is 0.1

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