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binomial and combinatorial probability

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An engineer has 200 resistors that he keeps in one box. Resistors are colored to
help their identification, and in this box there are 30 white resistors, 50 black
resistors, 80 red resistors and 40 green resistors.
(a) If he chooses one resistor from this box without looking what is the
probability that the resistor is either black or white ?
If he chooses two resistors from this box without looking:
(b) what is the probability that both the resistors are green ?
(c) what is the probability that one resistor is red and the other resistor is
white ?
(d) what is the probability that at most one of the resistors is green ?

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This solution contextualizes binomial and combinatorial probability.

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