Answer: Probability of getting one volcano in the world on which to conduct an extensive study is [tex] \frac{1}{37}[/tex]
Step-by-step 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
[tex]13+18+6\\\\=37[/tex]
So, Probability of selecting one volcano in the world on which to conduct an extensive study is given by
[tex]\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}\\\\=\frac{1}{37}[/tex]
Hence, Probability of getting one volcano in the world on which to conduct an extensive study is [tex] \frac{1}{37}[/tex]