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Sagot :
The probabilities are as follows
[tex]\rm P(X =0) = \dfrac{1}{8} ,\ P(X =1) = \dfrac{3}{8}, \ P(X =2) = \dfrac{3}{8} , \ P(X =3) = \dfrac{1}{8}[/tex]
What is probability?
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
A spinner has two equal sections one green and one orange.
The spinner is spun three times, resulting in the sample space (S) will be
S = {GGG, GGO, GOG, OGG, GOO, OGO, OOG, OOO}.
If the random variable X represents the number of times orange.
X = 0, 1, 2, 3
For X = 0, then the probability of not getting orange will be
[tex]\rm P(X = 0) = \dfrac{1}{8}[/tex]
For X = 1, then the probability of getting one orange only will be
[tex]\rm P(X = 1) = \dfrac{3}{8}[/tex]
For X = 2, then the probability of getting two oranges only will be
[tex]\rm P(X = 2) = \dfrac{3}{8}[/tex]
For X = 3, then the probability of getting oranges only will be
[tex]\rm P(X = 3) = \dfrac{1}{8}[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
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