Ex 13.4, 3 - Let X be difference between number of heads, tails - Random Variable - Defination

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  1. Chapter 13 Class 12 Probability
  2. Serial order wise
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Ex 13.4, 3 Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed 6 times. What are possible values of X? When a coin is tossed 6 times, possible outcomes are Sample space S = {6 tails and 0 head, 5 tails and 1 head, 4 tails and 2 heads, 3 tails and 3 heads, 2 tails and 4 heads, 1 tail and 5 heads, 0 tails and 6 head} Let X be the difference between the number of heads and the number of tails Hence the values of X can be 0, 2, 4, 6 Hence X = {0, 2, 4, 6} Thus, X is a real valued function whose domain is sample space Hence, X is a random variable

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