A black and a red die are rolled simultaneously. The probability of obtaining a sum greater than 9, given that the black resulted in a 5 is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 1/3
The black die shows $5$.
Sum > 9 ⇒ red die must show a number $r$ such that:
$5 + r > 9$
$r > 4$
Possible red die outcomes: $5,6$ → total $2$ outcomes.
Total possible outcomes for red die (given black = 5): $6$.
Required probability:
$\frac{2}{6}=\frac{1}{3}$
Probability = $\frac{1}{3}$.