Probability of No Consecutive Heads

CMAT 2026 · Quantitative Techniques & Data Interpretation · Medium · Probability

Four coins are tossed simultaneously. What is the probability that two consecutive heads never occur together?

  1. A.

    \frac{7}{8}

  2. B.

    \frac{1}{4}

  3. C.

    \frac{1}{3}

  4. D.

    \frac{1}{2}

Answer

D

Explanation

Total outcomes = 24=162^4 = 16. Favorable outcomes with no consecutive heads: TTTT, HTTT, THTT, TTHT, TTTH, HTHT, THTH, HTTH (8 cases). Probability = 816=12\frac{8}{16} = \frac{1}{2}.

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