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A coin is biased so that heads comes up thrice as likely as tails. For three independent losses of a coin, what is the probability of getting at most two tails?

Options

  1. A0.16
  2. B0.48
  3. C0.58
  4. D0.98

Correct answer

D. 0.98

Step-by-step solution

array ll & If P( Tails )=x & P( Head )=3 x & P(T)+P(H)=1 & x= 1 4 array Probability of at most 2 tails aligned & =1-P( all tail ) & =1- 1 4 1 4 1 4 = 63 64 & =.98 aligned

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