An urn contains 7 blue and 3 yellow chips. If the drawing of chips is done with replacement, determine the probability of:
Drawing three yellow chips.
Drawing a blue chip on the first draw and a yellow chip on the second draw.
Drawing a blue chip on the second draw given that a yellow chip was drawn on the first draw.
Drawing a yellow chip on the second draw given that a blue chip was drawn on the first draw.
Drawing a yellow chip on the second draw given that a yellow chip was drawn on the first draw.
Your response should be at least 200 words in length.