Conditionally Independent 條件獨立

The notion of conditional independence can easily be extended to more than two events. The following example, sometimes reffered to as Laplace's rule of succession, further illustrates the concept of conditional independence.

Example (Laplace's Rule of Succession)

Solution:
Ei 表示一開始時取出第 i 個銅板的事件, ; Fn表示首 n 次均得正面的事件; F 表示第 n+1 次丟得正面的事件. 則所欲求的機率 P(F|Fn) 可得之如下: