Sobes.tech
Intern

D. Chinese fireworks Vladimir bought a set of 3 Chinese fireworks. They look exactly the same and are mixed in a box, but according to the instructions, they have different reliability: 1. "Elite" — defect rate 10% (success probability 0.9). 2. "Standard" — defect rate 20% (success probability 0.8). 3. "Economy" — defect rate 40% (success probability 0.6). Vladimir randomly takes the first firework, lights it, and it successfully fires. Happy, Vladimir decides to launch the remaining two fireworks one after another. What is the probability that both the second and third fireworks will also successfully fire — without defect? Round the answer to three decimal places. Output format A decimal number rounded to 3 decimal places. For example, 0.98 or 0.999