Using the hint, notice that E, F and G are mutually exclusive events, and moreover,
F
G = S,
since these three events cover all the colonists. Thus,
F
G) = 1.
F
G) = P(E) + P(F) + P(G)
1 = 0.90 + 0.073 + P(G),
(We were given the 90% = 0.9, and we got the 0.073 in the preceding question.) Thus,
(0.90+0.073) = 0.027.