for a certain class, the following data table compares how many students play an instrument or a sport. what…

for a certain class, the following data table compares how many students play an instrument or a sport. what is the probability that a student chosen randomly from the class plays neither a sport nor an instrument?\n| |plays an instrument|does not play an instrument|\n|--|--|--|\n|plays a sport|5|4|\n|does not play a sport|10|3|

for a certain class, the following data table compares how many students play an instrument or a sport. what is the probability that a student chosen randomly from the class plays neither a sport nor an instrument?\n| |plays an instrument|does not play an instrument|\n|--|--|--|\n|plays a sport|5|4|\n|does not play a sport|10|3|

Answer

Explanation:

Step1: Calculate total number of students

$5 + 4+10 + 3=22$

Step2: Identify number of students who play neither

The number of students who play neither a sport nor an instrument is 3.

Step3: Calculate the probability

The probability $P$ is the number of favorable outcomes (students who play neither) divided by the total number of outcomes (total students). So $P=\frac{3}{22}$.

Answer:

$\frac{3}{22}$