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Given Event A, Event B, and Event C:

- Event A and Event B are mutually exclusive.
- Event A and Event C are not mutually exclusive.

P(A) = 0.45
P(B) = 0.35
P(C) = 0.25

What is the probability of the complement of Event A?

A. 0.45
B. 0.10
C. 1.00
D. 0.55

Sagot :

GinnyAnswer
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.
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