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MHT CET2017MathematicsProbability

A boy tosses fair coin 3 times. If he gets ₹ 2 x for x heads then his expected gain equals to ₹........

Options

  1. A1
  2. B3 2
  3. C3
  4. D4

Correct answer

C. 3

Step-by-step solution

For x heads, he gets y = 2 x x 0 1 2 3 y 0 2 4 6 p (y) 1 8 3 8 3 8 1 8 Excepted gain = ∑ y i p i = 0 1 8 + 2 3 8 + 4 3 8 + 6 1 8 = 6 + 12 + 6 8 = 3

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