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Calculating Probability with Replacement

An urn contains 7 blue and 3 yellow chips. If the drawing of chips is done with replacement, determine the probability of:

(a) Drawing three yellow chips.
(b) Drawing a blue chip on the first draw and a yellow chip on the second draw.
(c) Drawing a blue chip on the second draw given that a yellow chip was drawn on the first draw.
(d) Drawing a yellow chip on the second draw given that a blue chip was drawn on the first draw.
(e) Drawing a yellow chip on the second draw given that a yellow chip was drawn on the first draw.

Solution Preview

An urn contains 7 blue and 3 yellow chips. If the drawing of chips is done with replacement, determine the probability of:

(a) Drawing three yellow chips.
Answer:
(3/7) x (3/7) x (3/7) = ...

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