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A fair coin is tossed 4 times. What is the probability that no two heads occur on consecutive tosses?

Competition practiceData & Probability
  • A1/2
  • B5/16
  • C3/8
  • D7/16

Step-by-Step Solution

Total outcomes = . Listing those with no two adjacent heads: TTTT, HTTT, THTT, TTHT, TTTH, HTHT, HTTH, THTH — 8 of them. Probability = 8/16 = 1/2.
Answer: A) 1/2

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