Question

If an event A is independent of itself then P(1) =

• A. 1/2 or 1/3
• B. 0 or ½
• C. 0 or 1
• D. None of these

Answer 1

Answer: (C)

0 or 1

Answer 2

P (A Ç $\overline { \mathrm { A } }$ ) = 0

QA & $\overline { \mathrm { A } }$ are independent ̃ P(1) . P ( $\overline { \mathrm { A } }$ ) = 0

P(1) . (1 – P(1)) = 0 ̃ P(1) = 0 or 1