An experiment is performed where a 4-sided die is rolled and then a 3-color spinner is spun. the possible outcomes for each event are 1, 2, 3, and 4 for the 4-sided die and red (r), blue (b), and yellow (y) for the 3-color spinner. identify the sample space for this experiment.

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.

Kapil needed to buy a long wooden beam. he went to two sawmills that each charge an initial fee plus an additional fee for each meter of wood. the following equation gives the price (in dollars) of a wooden beam from the first sawmill as a function of its length (in meters). p = 5+20xp=5+20x

Acylinder has volume 45π and radius 3. what is it’s height?