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Audrey recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Instrument # of Students Guitar 7 Bass 14 Drums 13 Keyboard 5 Eighth Grade Students Instrument # of Students Guitar 8 Bass 12 Drums 5 Keyboard 2 Based on these results, express the probability that a student chosen at random will play the guitar as a decimal to the nearest hundredth.

Respuesta :

Answer:

0.23

Explanation:

The probability that a student chosen at random will play the guitar is 0.23.

To find the probability of student will play the guitar, we need to know about how to calculate the probability.

What is the number of elements of the sample space?

  • Sample space is the set of total possible out comes of an experiment.
  • Here the set of sample space contains

Seventh grade students instrument

  1. Guitar 7
  2. Bass 14
  3. Drums 13
  4. Keyboard 5

Eighth grade students instrument

  1. Guitar 8
  2. Bass 12
  3. Drums 5
  4. Keyboard 2
  •  Total number of elements of sample space is 7+14+13+5+8+12+5+2=66.

What is the number of elements of the event?

  • Here the set of event contains the students that will play the guitar.
  • Number of students will play the guitar or the number of elements of the event is 7+8=15.

What is the probability of student will play the guitar?

  • The probability can be obtained by the ratio of number of elements of event to the number of elements of the sample space.
  • The probability of student will play the guitar is 15/66=0.23

Thus, we can conclude that the probability of student will play the guitar is 0.23.

Learn more about the probability here:

https://brainly.com/question/24756209

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