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Suppose you have a bag of 3 red balls, 1 blue ball, and 2 green balls. a. Determine the sample space if you are grabbing

Suppose you have a bag of 3 red balls, 1 blue ball, and 2 green balls.

a. Determine the sample space if you are grabbing two balls out of the bag, one at a time, with replacement.

b. Determine the sample space if you are grabbing two balls out of the bag, one at a time, without replacement.

c. What is the probability of grabbing two red balls out of the bag, with replacement? Did you use the classical or empirical approach to calculate this probability?

d. What is the probability of grabbing two red balls out of the bag, without replacement? Did you use the classical or empirical approach to calculate this probability?

e. Suppose you are grabbing two balls out of the bag without replacement. Let the event A be grabbing the first ball and let the B be the event of grabbing the second ball. Are these two events independent or dependent? Disjoint or not disjoint?

f. Suppose you are grabbing two balls out of the bag with replacement. Let the event A be grabbing the first ball and let the B be the event of grabbing the second ball. Are these two events independent or dependent? Disjoint or not disjoint?

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