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GATE 2024 AE – Question 29

Engineering Mathematics · Special topics: Probability and statistics, Bayes theorem, mean, median, mode, variance, binomial, normal and Poisson distributions · 1 mark · Numerical answer

Two fair dice with numbered faces are rolled together. The faces are numbered from 1 to 6. The probability of getting odd numbers on both the dice is ________________ (rounded off to 2 decimal places).

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Correct answer: 0.24 to 0.26

Explanation

Each die shows an odd number with probability $\frac{3}{6} = \frac{1}{2}$. The dice are independent, so the probability is $\frac{1}{2} \times \frac{1}{2} = 0.25$.