Answer:
Probability of selecting one volcano in the world on which to conduct an extensive study is given by
![\frac{1}{37}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B37%7D)
Step-by-step explanation:
Since we have given that
Number of cinder cone volcanoes = 13
Number of shield volcanoes = 18
Number of strato volcanoes = 6
Total number of volcanoes is given by
![13+18+6\\\\=37](https://tex.z-dn.net/?f=13%2B18%2B6%5C%5C%5C%5C%3D37)
So, Probability of getting one volcano in the world on which to conduct an extensive study is given by
![\frac{\text{Number of favorable outcomes}}{\text{ Total number of outcomes}}\\\\=\frac{1}{37}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BNumber%20of%20favorable%20outcomes%7D%7D%7B%5Ctext%7B%20Total%20number%20of%20outcomes%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B37%7D)
Hence, Probability of selecting one volcano in the world on which to conduct an extensive study is given by
![\frac{1}{37}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B37%7D)