Two fair dice, each numbered 1 to 6, are thrown together. What is the probability that both dice show the same number?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\frac{1}{6}\)
Two dice give \(6\times6=36\) equally likely ordered pairs. Both dice show the same number when the pair is a doublet.
Doublets: (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), that is, 6 pairs
Probability \(\displaystyle =\frac{6}{36}=\frac{1}{6}\)