Question bank/JEE Main/Mathematics

JEE MainMathematicsToughProbability

A fair die is tossed. If 2, 3 or 5 occurs, the player wins that
number of rupees, but if 1, 4, or 6 occurs, the player loses that number

of rupees, then his expected gain/loss (in Rupees) is-,d ik s mNkyk gh 6 vkrk gS] rks f

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Show answer and solution
Then expected value E of the game payoffs for the player
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A_i 2 3 5 1 4 6

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M_i 2 3 5 -1 -4 -6

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=2()+5()−4()=−()= 2\left( \right) + 5\left( \right) - 4\left( \right) = - \left( \right)
Since E is negative therefore game is unfavorable to the player.

Source: Grass-G / M-21 Mathematics Paper 19 Dec Hindi Eng.docx

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