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Which of the following is NOT a formula for determining complementary probability?

User Yardena
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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:


P(outcome) - P(-outcome) = 1

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;


P(outcome) + P(-outcome) = 1 --- Equation 1

Subtract P(outcome) from both sides


P(outcome) - P(outcome) + P(outcome) = 1 - P(outcome)


P(-outcome) = 1 - P(outcome) ------ Equation 2

Subtract P(-outcome) from both sides of equation 1


P(outcome) + P(-outcome) - P(-outcome) = 1 - P(-outcome)


P(outcome) = 1 - P(-outcome)

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

User Sherelle
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