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 a sport or an instrument?\n| |plays an instrument|does not play an instrument|\n|--|--|--|\n|plays a sport|4|13|\n|does not play a sport|2|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 a sport or an instrument?\n| |plays an instrument|does not play an instrument|\n|--|--|--|\n|plays a sport|4|13|\n|does not play a sport|2|3|

Answer

Explanation:

Step1: Calculate total number of students

$4 + 13+2 + 3=22$

Step2: Calculate number of students who play a sport or an instrument

Number of students who play a sport or an instrument is $(4 + 13+2)=19$

Step3: Calculate the probability

Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{19}{22}$

Answer:

$\frac{19}{22}$