SOLUTION: Let C and D be independent events such that P(C)=0.35 abd P(D)=0.55. Find the following probabilities. A.) P(C and D) B.) P(D or C) C.) P(C and D^c) D.) P(C

Question 477668: Let C and D be independent events such that P(C)=0.35 abd P(D)=0.55. Find the following probabilities.
A.) P(C and D)
B.) P(D or C)
C.) P(C and D^c)
D.) P(C or D)^C
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
A) P(C and D) = P(C)*P(D) = 0.35*0.55 = 0.1925
B)P(D or C) = P(D) + P(C) - P(C and D) = 0.55 + 0.35 - 0.1925 = 0.7075
C) P(C) = P(C and D) + P(C and D') ==> 0.35 = 0.1925 + P(C and D')
==> P(C and D') = 0.1575.
D) P((C or D)') = 1 - P(C or D) = 1 - 0.7075 = 0.2925.
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