To find the probability of the complement of Event A, we can use the fundamental principle of probability that states:
[tex]\[ \text{Probability of Complement of Event A} = 1 - \text{Probability of Event A} \][/tex]
Given that the probability of Event A, [tex]\( P(A) \)[/tex], is 0.45, we can calculate the probability of the complement of Event A as follows:
[tex]\[
P(A') = 1 - P(A)
\][/tex]
Substituting the given value for [tex]\( P(A) \)[/tex]:
[tex]\[
P(A') = 1 - 0.45
\][/tex]
Performing the subtraction:
[tex]\[
P(A') = 0.55
\][/tex]
Therefore, the probability of the complement of Event A is 0.55.
Out of the given options:
- 0.45
- 0.10
- 1.00
- 0.55
The correct answer is 0.55.
