Ex 13.4, 11 - Two dice are thrown. If X is number of sixes

Ex 13.4, 11 - Chapter 13 Class 12 Probability - Part 2
Ex 13.4, 11 - Chapter 13 Class 12 Probability - Part 3

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Transcript

Question 11 Two dice are thrown simultaneously. If X denotes the number of sixes, find the expectation of X.Let X be the number of sixes occur So, value of X can be 0, 1 or 2 Total number of possible outcomes = 36 So, our probability distribution is The Expectation of X is given by E(X) = 𝜇=∑_(𝑖=1)^𝑛▒𝑥𝑖𝑝𝑖 = 0 × 25/36+1 × 10/36+2 × 1/36 = 10/36+2/36 = 12/36 = 𝟏/𝟑

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