Given:
Number of spheres = 2
Number of prisms = 3
Number of pyramids = 5
To find:
The probability that a pyramid will be selected.
Solution:
We have,
Favorable outcomes = Number of pyramids
= 5
Total outcomes = Total number of figures
=
![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 required probability is:
![\text{Probability}=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}](https://img.qammunity.org/2022/formulas/mathematics/college/19jixr484t4x702voh9w59elv415sedgcz.png)
![\text{Probability}=(5)/(10)](https://img.qammunity.org/2022/formulas/mathematics/high-school/pfaq7tjfxh68z0ydj9uju2shdlfpuiagii.png)
![\text{Probability}=0.5](https://img.qammunity.org/2022/formulas/mathematics/high-school/2fs97vdhxzb4kejjh9y73mcpzj1399jbgx.png)
Therefore, the probability that a pyramid will be selected is 0.5.