Difference between revisions of "Law of total probability"
Jump to navigation
Jump to search
<math>P(B) = P(B|A)P(A) + P\left(B|A^c\right)P\left(A^c\right)</math>
<math>P(B) = \sum_{i=1}^n P\left(B|A_i\right) P\left(A_i\right)</math>
(start) |
m (cat) |
||
| (One intermediate revision by one other user not shown) | |||
| Line 12: | Line 12: | ||
==References== | ==References== | ||
| − | < | + | <references /> |
| + | [[Category:Mathematics]] | ||
Latest revision as of 11:07, May 8, 2012
In mathematics, the law of total probability states that if <math>A</math> and <math>B</math> are events, then
(see [1])
In general, if <math>A_1, \ldots, A_n</math> are mutually exclusive events that partition the sample space, and <math>B</math> is any event, then
(see [2])