Answer:
0.536 is the required probability.
Step-by-step explanation:
We have been given the word the word "GEOMETRY"
we have to find the probability that two consonants and one vowel are chosen:
Number of consonants are: 5
Number of vowels are: 3
Hence, The required probability is: 
Using: 

Simplifying the above expression:

Further simplification after cancelling out the common terms we get:

Hence, Option 1 is correct.