Let X and Y be two independent random variables that represent the reward earned from Lottery 1 and Lottery 2, respectively. Their probability mass functions are given by: P(X = a,) = 1 – P(X = a2) = p, %3D P(Y = a3) = 1 – P(Y = a4) = q, where 0 < a, < az < az < a4 < 00 and 0 < qSp< 1. In an influence diagram that represents the problem to choose one of these two lotteries, there is no need to include any arc between the chance node of X and the chance node of Y. O True False

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