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MHT CET202015 Oct 2020Morning ShiftMathematicsProbabilityActual

A fair coin is tossed 2 times. A person receives ₹ X³ if he gets X number of heads. His expected gain is =

Options

  1. A₹ 2.00
  2. B₹ 1.00
  3. C₹ 2.50
  4. D₹ 5.20

Correct answer

C. ₹ 2.50

Step-by-step solution

A fair coin is tossed 2 times. Possible outcomes are HH, HT, TH, TT X takes values 0,1,2 P(X=0)= 1 4 , P(X=1)= 2 4 = 1 2 , P(X=2)= 1 4 Given a person receives ₹ X³ if we gets X no. of heads. aligned Expected gain &= ( 1 4 0 )+ ( 1 2 1³ )+ ( 1 4 2³ ) &=0+ 1 2 + 8 4 =2.5 aligned

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