A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is
equally likely to occur. Construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find
the probability that a sequence will contain exactly one 0.

A. 000, 001, 010, 011, 100, 101, 110, 111; the probability is 7/8

B. 001, 011, 101, 111; the probability is 2/8

C. 000, 010, 011, 101, 111, the probability is 2/8

D. 000, 001, 010, 011, 100, 101, 110, 111, the probability is 3/8

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.