Joel and Maja have studied for an exam that they will write for overgrading. The probability distribution for the grades (3, 4 or 5) are given below. If Joel writes the exam first and announces to Maja that he got a 5, then what is the probability that Maja only gets a 3

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Joel and Maja have studied for an exam that they will write for overgrading. The probability distribution for the grades (3, 4 or 5) are given below. If Joel writes the exam first and announces to Maja that he got a 5, then what is the probability that Maja only gets a 3?

J/M 3 4 5
3 0.21 0.11 0.04
4 0.02 0.32 0.13
5 0.01 0.03 0.13
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