Question

a coin is weighted so that there is a 61.7% chance of it landing on heads...

a coin is weighted so that there is a 61.7% chance of it landing on heads when flipped. the coin us flipped 16 times.
find the probability that exactly 6 of the flips resulted in heads

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Answer #1

Here p=0.617 which is same for all, n=16 is constant, only two outcomes and events are independent

As all the properties of binomial are satisfied

Hence we will binomial distribution to find required probability

\large P(x=6)=\binom{n}{x}*p^x*(1-p)^{(n-x)}=\binom{16}{6}*(0.617)^6*(1-0.617)^{(16-6)}=0.0300

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