Suppose that a six-sided die is "loaded" so that any particular even-numbered face is three times as likely to be observed as any particular odd-numbered face. (a) what are the probabilities of the six simple events? (hint: denote these events by o6. then p(o1) = p, p(o2) = 3p, p(o3) = p(o6)= 3p. now use a condition on the sum of these probabilities to determine p. answer as an exact fraction or round your answers to three decimal places.)