Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains 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 trial, a marble is drawn randomly from box B.
Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains 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 trial, a marble is drawn randomly from box B.
Answer the following questions.
a. Are the two trials independent or dependent? Give reasons to support your answer?
b. Draw a
c. What is the probability of drawing a white marble from box B at the end of 2nd trial?
d. What is the probability of drawing a black marble from box B at the end of 2nd trial?
e. Identify all the 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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