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A biased coin shows a head with probability 2/3. It is tossed 3 times independently. What is the probability of getting at least 2 heads?

Competition practiceData & Probability
  • A4/9
  • B8/27
  • C20/27
  • D26/27

Step-by-Step Solution

P(exactly 2 heads) = , and P(3 heads) = . Adding the two gives 20/27. Stopping at 'exactly two' leaves 12/27 = 4/9, while answers 'at least ONE head'.
Answer: C) 20/27

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