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MHT CET202124 Sep 2021Evening ShiftMathematicsProbabilityActual

Two dice are thrown simultaneously. If X denotes the number of sixes, then the expectation of X is

Options

  1. A3
  2. B2
  3. C1 3
  4. D2 3

Correct answer

C. 1 3

Step-by-step solution

Probability of getting 6= 1 6 X denotes number of times of getting 6 , So x can take values 0,1,2 . aligned P ( x & =0)= 5 6 5 6 = 25 36 P ( x & =1)= ( 1 6 5 6 )+ ( 5 6 1 6 )= 10 36 P ( x & =2)= 1 6 1 6 = 1 36 E ( x ) & = p _ i x _ i & = ( 25 36 )(0)+ ( 10 36 )(1)+ ( 1 36 )(2)= 10+2 36 = 1 3 aligned

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