If two dice are thrown together, what is the probability of obtaining at least a score of 10?
-
\(\frac{1}{6}\)
- \(\frac{1}{12}\)
- \(\frac{5}{6}\)
- \(\frac{11}{12}\)
The correct answer is: A
Explanation
The total sample space when two dice are thrown together is 6 x 6 = 36\(\begin{array}{c|c} & 1 & 2 & 3 & 4 & 5 & 6\\ 1. & 1.1 & 1.2 & 1.3 & 1.4 & 1.5 & 1.6\\ 2 & 2.1 & 2.2 & 2.3 & 2.4 & 2.5 & 2.6\\3 & 3.1 & 3.2 & 3.3 & 3.4 & 3.5 & 3.6\\ 4 & 4.1 & 4.2 & 4.3 & 4.4 & 4.5 & 4.6\\ 5 & 5.1 & 5.2 & 5.3 & 5.4 & 5.5 & 5.6\\6 & 6.1 & 6.2 & 6.3 & 6.4 & 6.5 & 6.6 \end{array}\)
At least 10 means 10 and above
P(at least 10) = \(\frac{6}{36}\)
= \(\frac{1}{6}\)