Use the spinner shown. It is equally probable that the pointer will land on any one of the eight regions. If the pointer lands on a borderline, spin again. If the pointer is spun three times, find the probability that it will land on blue and then yellow and then purple
Find the probability that the spinner will land on blue and then yellow and then purple.
(Type an integer or a simplified fraction.)

Step 1 ：The spinner has 8 regions and it is equally probable that the pointer will land on any one of the regions. Therefore, the probability of landing on any one color is \(\frac{1}{8}\).

Step 2 ：Since the pointer is spun three times, and we want it to land on blue, then yellow, then purple, we multiply the probabilities of these three independent events.

Step 3 ：The probability of landing on blue is \(0.125\), the probability of landing on yellow is \(0.125\), and the probability of landing on purple is \(0.125\).

Step 4 ：The probability of the sequence of landing on blue, then yellow, then purple is \(0.125 \times 0.125 \times 0.125 = 0.001953125\).

Step 5 ：Final Answer: The probability that the spinner will land on blue and then yellow and then purple is \(\boxed{0.001953125}\).