with replacing the first drawn marble, you have independent events and the probability of both happening would be the product of probability of each event.
Looks like this:
Probability of drawing a blue first marble = [tex] \frac{4}{17} [/tex]
After replacing the blue marble, note that we still have 17 total marbles
Probability of drawing a yellow second marble = [tex] \frac{5}{17} [/tex]
Now: P(B, then Y) = [tex] \frac{4}{17} ( \frac{5}{17} )[/tex] = [tex] \frac{20}{289} [/tex]
Or about a 7% chance!
