Question

If two dice are rolled together, what is the probability that the total score on the two dice is greater than 8 ?

• A. $\frac{1}{12}$
• B. $\frac{1}{9}$
• C. $\frac{5}{36}$
• D. $\frac{1}{6}$

Answer 1

Answer: (D)

$P($ greater than 8$)=P($ sum be 9$)+P($ sum be $10)+P($ sum be 11$)+P($ sum be 12$)$
Possible combinations are $(4,5),(5,4),(5,5)$, $(6,5),(5,6),(6,6)$
Possible outcomes $=6$
Total outcomes $=6\times 6=36$
Hence, $P($ greater than 8$)=\frac{6}{36}=\frac{1}{6}$