There are three ponds with three different types of fish: salmon, trout, and bass. Pond 1 has 15 salmon and 15 trout; pond 2 has 10 salmon and 20 bass; pond 3 has 18 trout and 12 bass. Each individual fish is equally likely to be caught if you are fishing in their pond. Wanyi spends the weekend fishing and on Saturday catches 5 fish from pond 1 and puts them into pond 2. On Sunday, she catches 5 fish from pond 2 and releases them into pond 3. When Philip arrives on Monday and catches 1 fish from each pond, what is the expected number of salmon he will catch? HINT: You may want to use the sum of many independent random variables to find this final expected value