Question

Ā is complement event of A. if P(A)-P(Ā)=0.8 then find P(A)​

Answer 1

Answer:

1-0.2=0=8 pa is 1 in this case

Answer 2

Answer: Ā is complement event of A. if P(A)-P(Ā)=0.8 then  P(A)​ = 0.9

The sum of probabilities of an event and its complementary event is 1.

Step-by-step explanation: Ā is complement event of A.Since P(A) and P(Ā)

are complementary events ,

P(A) + P(Ā) = 1

P(A) = 1 - P(Ā)....... equation (1)

the sum of probabilities of an event and its complementary event is 1.

Given : P(A)-P(A)=0.8

from here P(A) = 0.8 + P(A)....... equation ( 2 )

by comparing both the equations , we get

1 - P(Ā) =  0.8 + P(A)

2 P(Ā) = 1 - 0.8

P(Ā) = 0.1

put the value of P(Ā) = 0.1 in equation

P(A)-P(Ā)=0.8

P(A)= 0.8 + 0.1

P(A) = 0.9

Ā is complement event of A. if P(A)-P(Ā)=0.8 then  P(A)​ = 0.9

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