posted by Mujtaba .
be a sample space with probability distribution P,
P(s1)= 0.5, P(s2)= 0.25, P(s3)= 0.125, P(s4)= 0.125.
There are sixteen possible events that can be formed from the elements of 'S'.
Compute the probability and surprise of these events.
I assume that each of the sixteen events has two outcomes of S, namely
By the multiplication rule, and assuming that the two outcomes are independent, we have
Note: The sum of probabilities of the 16 events should add up to 1.
Not sure about the surprise part.