Answer:
D: 0.45 ; the probability that the Seahawks will not defeat the Raiders.
Step-by-step explanation:
The complement of an event A is the set of all outcomes in the sample space that are not included in the outcomes of event A.
The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1, or for the event [tex]A[/tex], and its complement event [tex]\overline{A}[/tex] always
[tex]Pr(A)+Pr(\overline{A})=1.[/tex]
If [tex]Pr(A)=0.55,[/tex] then
[tex]0.55+Pr(\overline{A})=1\\ \\Pr(\overline{A})=1-0.55=0.45.[/tex]
Event [tex]A[/tex] - the Seahawks will defeat the Raiders
Event [tex]\overline{A}[/tex] - the Seahawks will not defeat the Raiders
Hence, correct choice is D: 0.45 ; the probability that the Seahawks will not defeat the Raiders.
