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NDA 2024 · PYQ · Probability · medium

An unbiased coin is tossed n times. The probability of getting at least one tail is p and the probability of at least two tails is q and p - q = 5/32. What is the value of p + q?

  1. A.57/32
  2. B.53/32✓ Correct
  3. C.51/32
  4. D.1

Explanation

With n = 5: p = 1 - 1/32 = 31/32. q = 1 - 6/32 = 26/32. So p + q = 31/32 + 26/32 = 57/32. The answer is 57/32.
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