Random Variables and Probability Distributions
Telangana Open School (TOSS) · Class 12 · Mathematics
Most important questions from Random Variables and Probability Distributions for Telangana Open School (TOSS) Class 12 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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Sample Questions
Which of the following is NOT a condition for a valid probability distribution?
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Probabilities can be greater than 1
Probabilities must be between 0 and 1. A probability greater than 1 is invalid.
A fair die is rolled. Let X be the number on the face. What is P(X = 4)?
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1/6
A fair die has 6 equally likely outcomes. So P(X = 4) = 1/6.
Two coins are tossed. Let X be the number of heads. What are the possible values of X?
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0, 1, 2
Possible outcomes: TT (0H), HT/TH (1H), HH (2H). So X can be 0, 1, or 2.
If X is a discrete random variable, what is the formula for its mean?
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Σ x_i P(X = x_i)
The mean (expected value) of a discrete random variable is the sum of each value multiplied by its probability.
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