Bags of "original skittles" candies come in five different flavors: grape, lemon, green apple, orange and strawberry. the flavors are equiprobable; if you take a candy randomly from a bag the probability of getting a particular flavor is 1/5, independent of other "draws". (a) what's the probability of choosing three skittles and getting three of the same flavor? (b) what's the probability of choosing five skittles and getting one of each flavor? (c) what's the probability that in a bag of 30 candies there aren't any lemon ones? (d) if you draw a sequence of candies from the bag, what's the probability that you'll get at least two lemon ones before you get your first grape one?

(a) when insurance is obtained through a reciprocal insurer, the insureds are sharing the risk of loss with other subscribers of that reciprocal.

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