Every remaining individual tile is equally likely on the next draw. Returning a drawn tile restores the original counts. Keeping it out removes one tile from the total and, if it matches the wanted shape, one from the wanted count too. Do not multiply probabilities here: the earlier draw is already given. Each question resets the bag unless it explicitly describes a sequence.
Worked example
A separate bag starts with 4 stars and 2 circles. After a circle is drawn and kept out, 4 stars and 1 circle remain: next star chance 4/5. If that circle is returned instead, the next star chance is back to 4/6. Count what is available now.