![Example 22 - Chapter 13 Class 12 Probability - Part 2](https://d1avenlh0i1xmr.cloudfront.net/34cd93cd-8b04-445b-9084-b61edd83ae24/slide17.jpg)
![Example 22 - Chapter 13 Class 12 Probability - Part 3](https://d1avenlh0i1xmr.cloudfront.net/b6742919-d84a-4fc0-ae9c-5e3ad6e23e48/slide18.jpg)
Examples
Last updated at April 16, 2024 by Teachoo
Question 1 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