1) Bill is given a jar with eight marbles, six of which are red and two of which are green. Bill then randomly draws marbles without replacement. If he selects a red marble, he puts it in the first box. Similarly, until a green marble is chosen in given jar he continues to place all red marbles into the first box. When a green marble is chosen, he puts the first box aside and places red marbles in the second box until the second green marble is chosen. When the second green marble is selected, he will put the second box aside and place all remaining red marbled in a third box. After all marbles are drawn, what is the probability that each box contains two red marbles? Express your answer as a common fraction.
1) Bill is given a jar with eight marbles, six of which are red and two of which are green. Bill then randomly draws marbles without replacement. If he selects a red marble, he puts it in the first box. Similarly, until a green marble is chosen in given jar he continues to place all red marbles into the first box. When a green marble is chosen, he puts the first box aside and places red marbles in the second box until the second green marble is chosen. When the second green marble is selected, he will put the second box aside and place all remaining red marbled in a third box. After all marbles are drawn, what is the probability that each box contains two red marbles? Express your answer as a common fraction.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Transcribed Image Text:1) Bill is given a jar with eight marbles, six of which are red and two of which are green. Bill then
randomly draws marbles without replacement. If he selects a red marble, he puts it in the first box.
Similarly, until a green marble is chosen in given jar he continues to place all red marbles into the
first box. When a green marble is chosen, he puts the first box aside and places red marbles in the
second box until the second green marble is chosen. When the second green marble is selected, he
will put the second box aside and place all remaining red marbled in a third box. After all marbles are
drawn, what is the probability that each box contains two red marbles? Express your answer as a
common fraction.
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