Question

Which of the following is NOT a formula for determining complementary probability? O Ploutcome) = 1- P(-outcome) O P(outcome) - P(-outcome) = 1 O P(outcome) + P(-outcome) =1 O P(-outcome) = 1 - P(outcome)​

Answer 1

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

Explanation:

Given

Let the complementary probabilities be represented with P(outcome) and P(-outcome)

Required

Determine which of the options do not show complementary probabilities

In probability, complementary probability sums up to 1

i.e.

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

Hence option C is correct

Make P(outcome) the subject of formula

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

Hence, option A is correct

Make P(-outcome) the subject of formula

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

Hence, option D is correct

So, from the list of given options,

`P(outcome) - P(-outcome) = 1` is incorrect