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SEAMO 2027 - Paper F - SET 03 - Self-study Question 17

SEAMO · SEAMO 2027 - Paper F - SET 03 - Self-study

Question 17

A biased coin is tossed 5 times. There is a nonzero probability of getting heads or tails once. The probability of getting heads exactly once equals the probability of getting heads exactly twice. Find the probability of getting heads exactly three times.

Use independent tosses with the same probability of heads on each toss.
  1. $23/32$
  2. $33/64$
  3. $40/243$
  4. $47/256$
  5. None of the above