Suppose that a box contains 45 light bulbs, of which 36 are good and the other 9 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)?
(round your answer to three decimal places.)

(c)
what is
p(g|e ∩ f)?
(round your answer to three decimal places.)

(d)
what is the probability that all three selected bulbs are good? (round your answer to three decimal places.)