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|2|4|\n|does not play a sport|11|7|

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|2|4|\n|does not play a sport|11|7|

Answer

Explanation:

Step1: Calcular el total de estudiantes

Sumamos todos los valores de la tabla: $2 + 4+11 + 7=24$.

Step2: Identificar el número de estudiantes que no juegan deporte ni instrumento

Los estudiantes que no juegan deporte ni instrumento son 7.

Step3: Calcular la probabilidad

La probabilidad $P$ se calcula como el número de casos favorables dividido por el número total de casos. Entonces $P=\frac{7}{24}$.

Answer:

$\frac{7}{24}$