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GATE 2017 EC – Question 14

Engineering Mathematics · Probability and Statistics · 1 mark · Numerical answer

Three fair cubical dice are thrown simultaneously. The probability that all three dice have the same number of dots on the faces showing up is (up to third decimal place) ________.

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Correct answer: 0.027 to 0.029

Explanation

There are $6^3 = 216$ equally likely outcomes, and 6 of them have all three dice equal. The probability is $\frac{6}{216} = \frac{1}{36} = 0.028$.