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2015 AMC 12B Question 17

AMC12 · 2015 AMC 12B

Question 17

An unfair coin lands on heads with a probability of $\dfrac14.$ When tossed $n$ times, the probability of exactly two heads is the same as the probability of exactly three heads. What is the value of $n?$
  1. $5$
  2. $8$
  3. $10$
  4. $11$
  5. $13$