P(both green) : [tex]\frac{1}{16}[/tex], P(both blue) : [tex]\frac{1}{4}[/tex], P(first orange and then blue) : [tex]\frac{1}{8}[/tex]
These probabilities are correct.
What is probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
According to the question
Louis spins the spinner twice.
Total number of favorable outcomes = {OB, OO, OB,OG, BB, BO, BB, BG, GG, GB, GO, GB, BB, BO, BB, BG} = 16
P(both green) :
Number of favorable outcomes = 1
P(both green) = [tex]\frac{1}{16}[/tex]
It is applicable.
P(both blue) :
Number of favorable outcomes = 4
P(both blue) = [tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]
It is applicable.
P(first green and then blue) :
Number of favorable outcomes = 1
P(first green and then blue) = [tex]\frac{1}{16}[/tex]
P(first orange and then blue) :
Number of favorable outcomes = 2
P(first orange and then blue) = [tex]\frac{2}{16}=\frac{1}{8}[/tex]
It is applicable.
P(first orange and then green) :
Number of favorable outcomes = 1
P(first orange and then green) = [tex]\frac{1}{16}[/tex]
Hence,
P(both green) : [tex]\frac{1}{16}[/tex], P(both blue) : [tex]\frac{1}{4}[/tex], P(first orange and then blue) : [tex]\frac{1}{8}[/tex]
These probabilities are correct.
Find out more information about probability here
brainly.com/question/11234923
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