Answer: Probability of getting one volcano in the world on which to conduct an extensive study is
![(1)/(37)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/63vircxrklg3g3g2mkzz5t6jqt9hxbjr7e.png)
Explanation:
Since we have given that
Number of cinder cone volcanoes = 13
Number of shield volcanoes = 18
Number of stratovolcanoes = 6
Total number of volcanoes is given by
![13+18+6\\\\=37](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9ctom4uzb5sjrxdhjkhwlnqcfrygosug2v.png)
So, Probability of selecting one volcano in the world on which to conduct an extensive study is given by
![\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}\\\\=(1)/(37)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xdtesh6ccxf63z9nyajpgs4wncr0yaefrl.png)
Hence, Probability of getting one volcano in the world on which to conduct an extensive study is
![(1)/(37)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/63vircxrklg3g3g2mkzz5t6jqt9hxbjr7e.png)