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The values p and q in the quadratic expression 2x^{2}  px + q are determined by throwing two standard fair cubical dice, one red and one blue.
p is given by the value shown by the red die and q is given by the value shown on the blue die.
What is the probability that the equation 2x^{2}  px + q = 0 will have a solution that is a prime number?
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