A biased coin flips head with a probability $\frac 35$ and tails with probability $\frac 25$. The coin is flipped $100$ times. What is the probability that heads is flipped exactly $6$5 times?
I used binomial distribution for this
$$\binom nk\times p^k\times (1−p)^{n−k }$$
Which in this case gives:
$$\binom {100}{65}\times \left(\frac 35\right)^k\times \left(1-\frac 35\right)^{n−k }\sim 0.049133$$
Was my method and answer correct?