Suppose that E1 and E2 are the events that an incoming mail message contains the words w1 and w2, respectively. Assuming that E1 and E2 are independent events and that E1 | S and E2 | S are independent events, where S is the event that an incoming message is spam, and that we have no prior knowledge regarding whether or not the message is spam, show that

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p(S | E1n E2) p(Ej | S)p(E2 | S) p(E | S)p(E2 | S) + p(E1 | S)p(E2 | S)