The stock of WalMark Stores, Inc., trades on the New York Stock Exchange under the symbol WMS. Historically, the price of WMS goes up with the increase of the Dow average 60% of the time and goes down with the Dow 25% of the time. There is also a 5% chance that WMS will go up when the Dow goes down and 10% that it will go down when the Dow goes up.
a. Determine the probability that WMS will go up regardless of the Dow
b. Find the probability that WMS goes up given that the Dow is up
c. What is the probability that WMS goes down given that the Dow is down?