Group assignment on probability

A Random sample of 6 IC's is taken from a large consignment and tested in two independent

stages.The probability that an IC will pass either stage is p.All the 6IC's are tested at the first stage.

If 5 or more pass the test, those which pass are tested at the second stage.The consignment is accepted if

there is at most one failure at each stage.

What is the probability that the second stage of the test will not be required?

Find the number of IC's expected to undergo the second stage?