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Answer: The probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%
and
the probability of pulling three green marbles out with replacement is 0.8%.
Step-by-step explanation: Given that a bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles.
Let S be the sample space for the experiment of pulling a marble.
Then, n(S) = 12 + 8 + 5 = 25.
Let, E, F and G represents the events of pulling a red marble, a blue marble and a green marble respectively.
The, n(E) = 12, n(F) = 8 and n(G) = 5.
Therefore, the probabilities of each of these three events E, F and G will be
Now, the probability of pulling three green marbles out with replacement is given by
Thus, the probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%
and
the probability of pulling three green marbles out with replacement is 0.8%.