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MHT CET202122 Sep 2021Evening ShiftMathematicsDefinite IntegrationActual

A fair coin is tossed 4 times. If X a random variable which indicates number of heads, then P [ X < 3]=

Options

  1. A10 16
  2. B1 16
  3. C12 16
  4. D11 16

Correct answer

D. 11 16

Step-by-step solution

A coin is tossed 4 times n ( S )=2^4=16 Following possibilities exist. (i) All Heads 1 way (ii) 3 Heads, 1 Tail 4 ! 3 ! =4 ways (iii) 2 Heads, 2 Tails 4 ! 2 ! 2 ! =6 ways (iv) 1 Head, 3 Tails 4 ! 3 ! =4 ways (v) 0 head, 4 Tails 1 way Required probability. aligned & = P ( x =0,1,2)= 1 16 + 4 16 + 6 16 & = 11 16 aligned

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