If two dice are thrown together, what is the probability of obtaining at least a...

Mathematics

JAMB 1988

If two dice are thrown together, what is the probability of obtaining at least a score of 10?

A. \(\frac{1}{6}\)
B. \(\frac{1}{12}\)
C. \(\frac{5}{6}\)
D. \(\frac{11}{12}\)

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Correct Answer: Option 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) = \(\frac{6}{36}\)

= \(\frac{1}{6}\)

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