Count equally likely individual tiles, then divide the wanted count by the whole bag count. Compare proportions rather than wanted counts alone. The chance of either of two non-overlapping shapes uses their combined count. The chance rule describes possible draws; it does not require a short sequence to match that fraction exactly. Each question states its own model.
Worked example
Bag X has 1 star in 4 tiles, while Bag Y has 2 stars in 8 tiles. Both give a star chance of 1/4, since 2/8 = 1/4. Doubling every category preserves the chance. Doubling only the star count would change the mix.