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The shape of the binomial distribution depends on both n and p.\\  Binomial distributions are symmetric when p = 0.5, but they are also symmetric when n is large, even if p is close to 0 or 1.\\  When np$\gew np$\geq  10$ and when n(1-p)$\geq 10$ then we can approximate a binomial as a normal distribution with the same definitions of mean and standard deviation of the binomial.\\ After checking if you question meets the requirements to be approximated as normal thne you already have the mean and standard deviation adn you can use z scores to find probabilities.