suppose you have two boxes a and b. box a contain 7 black marble, 4 white marbkes and box b contain 7 white and 4 black marbles.a random experiment is performed in two sequential trials by first drawing a marble randomly from box a and putting into box b.in the second trial after the first trail a marble is drawn randomly from box b
a) Are the two trials independent or dependent? Give reason to support your answer.
b) Draw a probability tree diagram to show the execution of this experiment.
c) what is the probability of drawing a white marble from box b at the end of 2nd trail?
d) what is the probability of drawing a black marble from box b at the end of 2nd trail?
e) Identify all the mutually exclusive events present in the given scenario and verify that they are mutually exclusive?
f) If we reverse the scenario then what is the probability of drawing a black marble from box A given that a white marble is drawn from box B.
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