Complete the theorem of total probability

Exercise and reference answers

Missing parts

1. Answer

   partition

   Choices

   1. partition
   2. sequence
   3. sample

2. Answer

   P(A|Eᵢ)

   Choices

   1. P(A|Eᵢ)
   2. P(Eᵢ|A)
   3. P(A) P(Eᵢ)

Complete the statement

If E₁ … Eₙ form a {0} of the sample space and each has nonzero probability, then for any event A, P(A) is the sum of P(Eᵢ) times {1}.

Explanation