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 3 of 4 randomly selected students do not prefer water how could you model the scenario? This scenario can be simulated by Rolling a six-sided die (A 3 B 4 C 5 D 6 E 7 times). The (A numbers 0 to 3 B numbers 0 to 6 C number 1 D numbers 7 to 9 ) would represent students who prefer water if a number (A 0 to 3 B 0 to 6 C 1 D 7 to 9) appears only once in a set of outcomes then it will mean that three of four randomly picked students do not prefer water in that set .​

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Answer:

The probability that exactly three of four randomly selected students that do not prefer water is; P=125/1296= 0.096

Step-by-step explanation:

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The required probability that exactly 3 of 4 randomly selected students do not prefer water is 0.096.

Given that,
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.


What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

the probability that selected students to prefer water.
Total sample space = 300
Total desired events = 50
Pw = 50 / 300 = 1/6

the probability that selected students do not prefer water
Total sample space  = 300
Total desired events = 100+150 = 250

Pmj = (250)/300
     = 5/6


The probability for exactly 3 of 4 randomly selected students do not prefer water can be given as,

Preq =  Pmj.Pmj.Pmj.Pw

Preq = (5/6)^3 × 1/6

Preq= 125/1296
  = 0.096

Thus, the required probability that exactly 3 of 4 randomly selected students do not prefer water is 0.096.

Learn more about probability here:

brainly.com/question/14290572

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