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JEE Math Practice Question

An unbiased coin is tossed 5 times. Suppose that a variable X is assigned the value of k when k consecutive heads are obtained for k = 3, 4, 5, otherwise X takes the value -1. Then the expected value of X, is :

  1. A.$$ - {3 \over {16}}$$
  2. B.$$ - {1 \over 8}$$
  3. C.$${1 \over 8}$$
  4. D.$${3 \over {16}}$$

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