Suppose that a box contains 25 light bulbs, of which 20 are good and the other 5 are defective. Consider randomly selecting three bulbs without replacement. Let E denote the event that the first bulb selected is good, F be the event that the second bulb is good, and G represent the event that the third bulb selected is good.
a. What is P(E) ?
b. What is P(F \ E) ?
c. What is P(G \ E ∩ F) ?
d. What is the probability that all three selected bulbs are good?
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