In a recent year, the following statistics for electrical energy generation in a certain country were reported.

If three homes from this country are picked at random, find the probability that all three got their electricity from a source other than fossil fuels. Round any intermediate calculations to at least four decimal places.

Fossil Fuels: 2619.1

Nuclear: 718.7

Hydroelectric: 242.3

Miscellaneous renewables: 396.3