A tile maker will randomly select 6 marble tiles from the 10

A tile maker will randomly select 6 marble tiles from the 10000 in the factory suppose that 75% are in perfect condtion 20% are nearly perfect and the last 5% are in poor condition, Find the probability that of the 6 selected 3 are perfect, 2 are near perfect and one is in poor condition.

Solution

No. of perfect is = 7500

No. of nearly perfect is = 2000

No. of poor in condition = 500

P( 6 selected 3 are perfect, 2 are near perfect and one is in poor condition ) = (0.75)^3 * (0.20)^2 * (0.05) = 0.00084375