just a fast one:
Three coins 10p,20p and 50p. The values of those that land heads up are added to work out the total amount ξ. What is the expected total amount ξ given that two coins have landed heads up?
After calculating the integral I found that that the final result is 160/3... textbook says its 53/3 but I believe its wrong due to some calculation errors.
Thanks in advance