A bag contains two blue marbles, two green marbles, and three purple marbles. You randomly select a marble from the bag then roll a standard six-sided number cube.
Let
A be the event that you select a green marble. Let
B be the event that you roll a number less than 3. The
P(ANB) = 0.0952. Calculate
P(A),
P(B). Explain and show how to use those two probabilities to determine if events
A and
B are independent. Are the events independent? Round each calculation to four
decimal places. (4 points)