Check sibling questions

Example 22 - A person plays a game of tossing a coin thrice

Example 22 - Chapter 13 Class 12 Probability - Part 2
Example 22 - Chapter 13 Class 12 Probability - Part 3


Transcript

Example 22 A person plays a game of tossing a coin thrice. For each head, he is given Rs 2 by the organizer of the game and for each tail, he has to give Rs 1.50 to the organizer. Let X denote the amount gained or lost by the person. Show that X is a random variable and exhibit it as a function on the sample space of the experiment.When three coin are tossed, Possible outcomes are Sample space = S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT} Let X : amount gain or lost by person For each head, he wins Rs. 2 & for each tail he loses Rs. 1.5 We have calculate values of X & check that if all values are real values Hence value of X can be 6, 2.5, –1, –4.5 All these are real values Hence X = {6, 2.5, –1, –4.5} Thus, X is a real valued function whose domain is sample space Hence, X is a random variableA

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.