Question: 1. If S = { a , b , c } with P ( a ) = 9 P ( b ) = 7 P
1. If S = {a, b, c} with P(a) = 9P(b) = 7P(c), find P(a). P(a) =
2. IfEandFare two disjoint events inSwithP(E) =0.52andP(F) =0.1, findP(EF),P(EC),P(EF),P((EF)C), andP((EF)C).
3. Let E and F be two events in S with P(E) = 0.36, P(F) = 0.64, and P(E F) = 0.21. Find P(EC F) and P(EC FC).
4. LetEandFbe two events inSwithP(E) = 0.38,P(F) = 0.73, andP(E F) = 0.85. FindP(E F)andP(E FC). 5. LetE,FandGbe three events inSwithP(E) = 0.41,P(F) = 0.46,P(G) = 0.48,P(E F) = 0.11,P(E G) = 0.25,P(F G) = 0.17, andP(E F G) = 0.05. FindP(EC F G),P(E FC G), andP(E F GC).
6. Let E, F and G be three events in S with P(E) = 0.47, P(F) = 0.5, P(G) = 0.53, P(E F) = 0.29, P(E G) = 0.2, P(F G) = 0.22, and P(E F G) = 0.07. Find P(EC FC GC). P(EC FC GC) =
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