A black die and a red die are rolled together. Find the conditional probability of obtaining a sum greater than 9 given that the black die resulted in a 5.

Possible Outcome = {(5,1),(5,2),(5,3).(5,4),(5,5),(5,6)}

Sum greater than 9 = {(5,5),(5,6)}

$Required Probabilty = \frac{2}{6} = \frac{1}{3}$

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