The black and red die are rolled. The conditional probability of obtaining a sum greater than 9 given that the black die resulted in a 5 is :
Answer & explanation
Correct answer: option 1
The correct answer is option (1) → $\frac{1}{3}$
Given that black die already comes up with 5
we have 6 possibilities for red die
only for 5, 6 on red die, the combined sum = 9
so probability = $\frac{2}{6}=\frac{1}{3}$