SOLUTION:
Step 1:
To find the probability of picking a vowel from G, B, E and A.
A and E are the vowels here,

Step 2:
To find the probability that the spinner showed a vowel from A, B and C.
A is the only vowel here,

Step 3:
To find the probability that both will be a vowel:

CONCLUSION:
The probability that both will be a vowel is 1/6