Let $P = (\{ 0, 1 \}, \mathcal{P} \{ 0, 1 \}, \mathbb{P})$ be a D5512: Single boolean trial probability space such that
(i) | \begin{equation} \mathbb{P} \{ 1 \} = 1 \end{equation} |
(ii) | \begin{equation} \mathbb{P} \{ 0 \} = 0 \end{equation} |
Then
(i) | \begin{equation} \{ 1 \} \neq \{ 0, 1 \} \end{equation} |
(ii) | \begin{equation} \mathbb{P} \{ 1 \}^{\complement} = \mathbb{P} \{ 0 \} = 0 \end{equation} |