The probability to draw a blue tile on both draws is 16/225.
We have given that, Julio is drawing tiles from a bag of tiles from a bag of tiles like the ones shown below. He draws a tile, replaces it, and draws another tile.
There are 4 blue tiles out of 15 total.
The first draws a tile, so we get the probability of 4/15. Replace it again in the sample space and draw another tile then the probability is 4/15.
The total probability is given by,
Multiply (4/15)(4/15)=16/225.
The answer is 16/225.