Students at freeman middle school have a choice of water, milk, or juice. from a survey, it was determined

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.

Step-by-step 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

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