SOLUTION: 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

Question 1028109: 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?
Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!

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.

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}
RELATED QUESTIONS
a bag contains 2 white and 3 black balls. Four persons A,B,C and D in the order named... (answered by Edwin McCravy)

A bag contains 2 white balls and 3 black balls, 4 person w,x,y,z in the order named each... (answered by mathmate)

combination one bag contains 6 white balls and 8 black, and a second bag contains 3... (answered by Boreal)

A box contains three red balls, five black balls, and four white balls. Suppose one ball (answered by edjones)

A bag contains 4 white and 2 black balls. Another bag contains 3 white and 3 black balls. (answered by Edwin McCravy)

A bag contains 4 white and 6 black balls. Two (2) balls are drawn at random. One at a... (answered by stanbon)

A bag contains three black balls,four white balls and five red balls.Three balls are... (answered by ikleyn)