Question: Two pennies, one with P(head) = u and one with P(head) = w, are to be tossed together independently. Define p0 = P(0 heads occur),

Two pennies, one with P(head) = u and one with P(head) = w, are to be tossed together independently. Define
p0 = P(0 heads occur),
p1 = P( 1 head occurs),
p2 = P(2 heads occur).
Can u and w be chosen such that p0 = p1 = P2? Prove your answer.

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