Question 1028109
 
Question:
A bag contains 2 white balls and 3 black balls each of four persons A,B,C, and D in the order named, drawsone ball and does not replace it, the first to draw a white  ball receives $10. Determine the expectation of A,B,C, and D?
 
Solution:
This problem is best solved using a probability tree, which displays clearly the possible outcomes while saving a lot of bookkeeping.
*[illustration 1028109]
So in conclusion, the probability as shown in the tree diagram decreases from A to D, in the sequence
{P(A)=4/10, P(B)=3/10, P(C)=2/10, P(D)=1/10}