1. For a symmetrical eight-sided die, what is the probability that it will take exactly two tries to roll a 6 ?
a. 0.13
b. 0.10
c. 0.09
0.11
Answer
\(\boxed{0.109375}\) 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.
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.
