A fair die is tossed thrice. If the probabilities of zero, one, two, and three successes are 8/27, 4/9, 2/9, and 1/27 respectively, find the mean of t - Mathematics MCQ Mathematics Mock Test - 5 2026 | ExamTest.live

mediumMCQMathematics Mock Test - 52026Mathematics

2 attempts0% success rate1 mark

A fair die is tossed thrice. If the probabilities of zero, one, two, and three successes are 8/27, 4/9, 2/9, and 1/27 respectively, find the mean of the number of successes.

Solution & Step-by-step Explanation

The mean (μ) of a discrete random variable is given by \sum x_{i} p_{i} . μ = (0 \cdot \frac{8}{27}) + (1 \cdot \frac{4}{9}) + (2 \cdot \frac{2}{9}) + (3 \cdot \frac{1}{27}) μ = 0 + \frac{4}{9} + \frac{4}{9} + \frac{1}{9} μ = \frac{9}{9} = 1

Try it yourself before checking the explanation above.

A fair die is tossed thrice. If the probabilities of zero, one, two, and three successes are 8/27, 4/9, 2/9, and 1/27 respectively, find the mean of the number of successes.

0.5

1

7/2

5/2

Practice with timed mock tests and track your performance across Mathematics.