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Let X represent the product of the number of heads and the number of tails obtained when a coin is tossed 6 times. Then, the possible values of X are
Possible values in probability refer to the different outcomes a random variable can take in an experiment. These values can be finite or infinite depending on the nature of the experiment. They help in determining probabilities using probability distributions and play a crucial role in statistical analysis and decision-making processes.
Class 12 Maths Probability is covered in Chapter 13 for the CBSE Exam 2024-25. It includes concepts like random experiments independent and dependent events mutually exclusive and non-mutually exclusive events Bayes’ theorem and conditional probability. These topics help in solving real-life problems and are important for higher studies and competitive exams.
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A fair coin is tossed 6 times.
Let X be the product of the number of heads (H) and the number of tails (T).
Since each toss results in either a head or a tail:
Total tosses = 6 → H + T = 6
Possible values of (H, T) pairs:
(0,6), (1,5), (2,4), (3,3), (4,2), (5,1), (6,0)
Now, determine X = H × T:
– (0,6) → 0 × 6 = 0 .
– (1,5) → 1 × 5 = 5 .
– (2,4) → 2 × 4 = 8 .
– (3,3) → 3 × 3 = 9 .
– (4,2) → 4 × 2 = 8 .
– (5,1) → 5 × 1 = 5
– (6,0) → 6 × 0 = 0
Possible values of X = {0, 5, 8, 9}
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