Julio is drawing tiles from a bag of tiles like the one shown below.

A brown bag is shown with fifteen different colored tiles inside. There are five red tiles, four blue tiles, three yellow tiles, and three green tiles.

He draws a tile, replaces it, and draws another tile. What is the probability he will draw a blue tile on both draws?

1 answer

The probability of drawing a blue tile on the first draw is 4 out of 15, since there are 4 blue tiles out of 15 total tiles.

Since the tile is replaced after the first draw, the probability of drawing another blue tile on the second draw is also 4 out of 15.

To find the probability of both events happening, we multiply the probabilities:

(4/15) * (4/15) = 16/225

Therefore, the probability Julio will draw a blue tile on both draws is 16/225.