An inspection procedure at a manufacturing plant involves picking three items at random and then accepting the whole lot if at least two of the three items are in perfect condition. If in reality 90% of a certain very large lot are perfect, what is the probability that the lot will be accepted? Round your answer to the nearest thousandth (3 decimal places).

Question

An inspection procedure at a manufacturing plant involves picking three items at random and then accepting the whole lot if at least two of the three items are in perfect condition.  If in reality 90% of a certain very large lot are perfect, what is the probability that the lot will be accepted?  Round your answer to the nearest thousandth (3 decimal places).