Answer:
the probability that exactly three of four randomly selected students do not prefer water is;
P = 125/1296 = 0.096
Completed question:
Students at Freeman Middle School have a choice of water, milk, or juice for breakfast. From a survey, it was determined that 50 students prefer water, 100 prefer juice, and 150 prefer milk. You want to know the probability that exactly three of four randomly selected students do not prefer water.
Explanation:
Preference from survey results;
Water = 50
Juice = 100
Milk = 150
Total = 50+100+150 = 300
the probability that a selected students do not prefer water;
P1 = (100+150)/300 =250/300 = 5/6
the probability that a selected students prefer water;
P2 = 50/300 = 1/6
the probability that exactly three of four randomly selected students do not prefer water is;
P = P1 × P1 × P1 × P2
P = (5/6)^3 × 1/6
P = 125/1296 = 0.096