Question

A weighted coin has a 0.664 probability of landing on heads. If you toss the coin 28 times, what is the probability of getting heads exactly 18 times? (Round your answer to 3 decimal places if necessary.)

Answer 1

Probability of atleast one head = 2C1 * p * (1-p) + 2C2 * p^2 = 2(p - p^2) + p^2 = 2p - p^2

p(2 - p) > 0.5

All values of p satisfy this equation.