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hi welcome to this tutorial on the binomial distribution this is the third one in the series and in this Im going to show you how to calculate various probabilities from binomial distributions now Im assuming that youre familiar what a binomial distribution is and also how to work out the probability of our successes if not please go back and look at my first two tutorials now for the first question weve got a manufacturer of a bag of sweets claims that there is a 90% chance that the bag contains some Toffees and if 20 bags are chosen what is the probability that one all the bags contain Toffees and impart two more than eighteen bags contain Toffees now this particular question is a binomial distribution why because there are a finite number of trials theres 20 in this particular problem each referring to a particular bag of sweets there are two outcomes in any trial success failure success being where we pick a bag that has Tuffys in it failure being that the bag does not have