Step 1 :Let's consider two events:
Step 2 :1. Not rolling a 6 on the first try
Step 3 :2. Rolling a 6 on the second try
Step 4 :Since the die is symmetrical and has eight sides, the probability of rolling a 6 is \(\frac{1}{8}\), and the probability of not rolling a 6 is \(\frac{7}{8}\).
Step 5 :We need to multiply these probabilities to find the probability of both events happening:
Step 6 :\(\frac{7}{8} \times \frac{1}{8} = \frac{7}{64}\)
Step 7 :\(\boxed{0.109375}\) is the probability that it will take exactly two tries to roll a 6 on a symmetrical eight-sided die, which is closest to option b. 0.10.