jaxson recorded the grade - level and instrument of everyone in the middle school school of rock…

jaxson recorded the grade - level and instrument of everyone in the middle school school of rock below.\nseventh grade students\n|instrument|# of students|\n|--|--|\n|guitar|5|\n|bass|13|\n|drums|14|\n|keyboard|8|\neighth grade students\n|instrument|# of students|\n|--|--|\n|guitar|2|\n|bass|12|\n|drums|11|\n|keyboard|15|\nbased on these results, express the probability that a seventh grader chosen at random will play the guitar as a decimal to the nearest hundredth.

jaxson recorded the grade - level and instrument of everyone in the middle school school of rock below.\nseventh grade students\n|instrument|# of students|\n|--|--|\n|guitar|5|\n|bass|13|\n|drums|14|\n|keyboard|8|\neighth grade students\n|instrument|# of students|\n|--|--|\n|guitar|2|\n|bass|12|\n|drums|11|\n|keyboard|15|\nbased on these results, express the probability that a seventh grader chosen at random will play the guitar as a decimal to the nearest hundredth.

Answer

Explanation:

Step1: Find total seventh - grade students

Add the number of students for each instrument in seventh grade. $5 + 13+14 + 8=40$.

Step2: Calculate the probability

The number of seventh - grade guitar players is 5. Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So the probability that a seventh - grader chosen at random plays the guitar is $\frac{5}{40}$.

Step3: Convert to decimal

$\frac{5}{40}=0.125$, rounded to the nearest hundredth is 0.13.

Answer:

0.13