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If two unbiased coins are tossed, then what is the probability of having at least one head?

  • A.0.25
  • B.0.5
  • C.0.675
  • D.0.75

Answer: D

The probability is 0.75.

The four equally likely outcomes are HH, HT, TH and TT. Only TT has no head, so

\[ P(\text{at least one head}) = 1 - \tfrac{1}{4} = 0.75. \]

0.25 is the probability of no head (or of two heads), 0.5 of exactly one head, and 0.675 does not correspond to any count of the four outcomes.

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