A bag contains 4 red and 2 green balls. You draw a ball uniformly at random (i.e. any ball is equally likely to be chosen), observe its color, and put back two balls of the same color into the bag (i.e. the ball your chose along with anewball of the same color). Consider the sequence of ball colors over t steps (for t large, for example 10 or more), for example (r, g, g, r, r, r, ..., g), where the sequence has t elements in sequence. Determine the probability thatall the t balls that you chose were the same color.