Given U=[x : x is an integer and 1 <= x <= 30]. A=[x : x is a multiple of 4], B=[x : x is a multiple of 5], C=[x : x is a multiple of 3], an integer is picked at random, find the probability that it is a multiple of 5 and 4.

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

Which ordered pair (c,d) is a solution to the given system of linear equations- c+2d=13 -9c-4d=-15

Using inductive reasoning, what are the next two number in this set? 2,3/2,4/3,5/4,