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) 1.00
B) 0.55
C) 0.10
D) 0.45

B) 0.55

The probability of the complement of Event A ( P( A⁻ ))  = 0.55

Step-by-step explanation:

Explanation:-

 Given  Event A and Event B are mutually exclusive.

  Given data P(A) = 0.45

                     P(B) = 0.35

                     P(C) = 0.25

The probability of the complement of Event A

                   P( A⁻ ) = 1 - P( A)

                              =  1 - 0.45

                              = 0.55

Final answer:-

The probability of the complement of Event A = 0.55

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b