Question:
Which of the following is NOT a formula for determining complementary probability?
A. P(outcome) = 1- P(-outcome)
B. P(outcome) - P(-outcome) = 1
C. P(outcome) + P(-outcome) =1
D. P(-outcome) = 1 - P(outcome)
Answer:
[tex]P(outcome) - P(-outcome) = 1[/tex]
Step-by-step explanation:
Required
Determine which option is not a formula of complementary probabilities
From the list of given options, the complementary probabilities are P(outcome) and P(-outcome)
In probability;
[tex]P(outcome) + P(-outcome) = 1[/tex] --- Equation 1
Subtract P(outcome) from both sides
[tex]P(outcome) - P(outcome) + P(outcome) = 1 - P(outcome)[/tex]
[tex]P(-outcome) = 1 - P(outcome)[/tex] ------ Equation 2
Subtract P(-outcome) from both sides of equation 1
[tex]P(outcome) + P(-outcome) - P(-outcome) = 1 - P(-outcome)[/tex]
[tex]P(outcome) = 1 - P(-outcome)[/tex]
Equation 1, 2 and 3 represents options A, C and D
While option B is out of place
Hence, option B is not a formula of complementary probability
