A bag contains 14 green tiles, 10 red tiles, and 16 blue tiles. What is the theorectical probability that you will randomly select a blue tile?
To find the theoretical probability of randomly selecting a blue tile, you need to know the total number of tiles in the bag and the number of blue tiles.
In this case, the total number of tiles is the sum of the green, red, and blue tiles: 14 + 10 + 16 = 40.
The number of blue tiles is 16.
Therefore, the theoretical probability of randomly selecting a blue tile can be calculated by dividing the number of blue tiles (16) by the total number of tiles (40):
P(Blue) = Number of Blue Tiles / Total Number of Tiles
= 16 / 40
= 0.4 or 40%
So, the theoretical probability of randomly selecting a blue tile from the bag is 0.4 or 40%.