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The probability of getting a marble marked with a number greater than 4 is [tex]\frac{1}{9}[/tex].
What is probability?
Probability is the measure of happening or non-happening of outcomes of random experiment.
Probability formula
P(E) = Number of favorable outcomes/Total number of outcomes
where,
P(E) is the probability of an event.
According to the given question.
Total number of marbles in jar = 18
⇒ Total number of outcomes = 18
( 6 red marbles, 6 black marbles, and 6 green marbles)
But it is given that, black or red marble is randomly selected.
Therefore, the total number of outcomes reduced to 12.
Numbers which are greater than 4 among 1 to 6 are 5 and 6.
Total number of numbers which are greater than 4 in jar = 2 × 3 =6
But we have to select only black or red marble.
Therefore,
Total number of favorable outcomes = 4
The probability of selecting a marble greater than 4 which are red
= [tex]\frac{4}{12} =\frac{1}{3}[/tex]
The probability of selecting a marble greater than 4 which are black
= [tex]\frac{4}{12} = \frac{1}{3}[/tex]
Therefore, the probability of getting a marble marked with a number greater than 4 [tex]=(\frac{1}{3}) (\frac{1}{3} )=\frac{1}{9}[/tex]
Hence, the probability of getting a marble marked with a number greater than 4 is [tex]\frac{1}{9}[/tex].
Find out more information about probability here:
https://brainly.com/question/11234923
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