Let B and C be two events such that FB 054 and c 010 a Det

Let B and C be two events such that F(B) = 0.54 and (c) = 0.10. (a) Determine F (B Union C) , given that B and C are independent. (b) Determine F (B Union C) , given that B and C are mutually exclusive. Do not round your responses. (If necessary, consult a list of formulas.)

Solution

A) how B and C are independent, P(BUC)= P(B)+P(C)-P(BnC)=0.54+0.10-(0.54*0.10)=0.586

B) How B and C are mutually exclusive, then P(BUC)=P(B)+P(C)=0.54+0.10=0.64