Given:
A bag has 2 blue, 3 red, and 5 yellow tiles.
To find:
The probability of picking a blue tile.
Solution:
We have,
Number of blue tiles = 2
Number of red tiles = 3
Number of yellow tiles = 5
Total number of tiles =
![2+3+5](https://img.qammunity.org/2022/formulas/mathematics/high-school/vbkecqkbevhx2xma4klmgpk533fsq0wn1p.png)
=
![10](https://img.qammunity.org/2022/formulas/mathematics/high-school/nmkmrezwh1n3hu2tf30qhc3mc5e5zh8h1x.png)
Now, the probability of picking a blue tile is
![P(\text{Blue})=\frac{\text{Number of blue tiles}}{\text{Total number of tiles}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/zjquoy55fejum7m4q4dsjewc63t5hee2fw.png)
![P(\text{Blue})=(2)/(10)](https://img.qammunity.org/2022/formulas/mathematics/high-school/kbi9g3cmne5otalzfbamuzniy37b0qoayt.png)
![P(\text{Blue})=0.2](https://img.qammunity.org/2022/formulas/mathematics/high-school/9bamgrgi6drll1upxy60c7lrzty24kkdh6.png)
Therefore, the probability of picking a blue tile is 0.2.