the names of the 20 students in a class are placed in a hat. the class consists of 12 freshmen, 6…

the names of the 20 students in a class are placed in a hat. the class consists of 12 freshmen, 6 sophomores, and 2 juniors. a name is selected from the hat each day and if the student is present that day they receive a prize. the name selected is put back in the hat each day. if a sophomore was chosen yesterday, what is the probability that a sophomore will be chosen again today?\na. $\frac{3}{38}$\nb. $\frac{9}{100}$\nc. $\frac{1}{4}$\nd. $\frac{5}{19}$\ne. $\frac{3}{10}$

the names of the 20 students in a class are placed in a hat. the class consists of 12 freshmen, 6 sophomores, and 2 juniors. a name is selected from the hat each day and if the student is present that day they receive a prize. the name selected is put back in the hat each day. if a sophomore was chosen yesterday, what is the probability that a sophomore will be chosen again today?\na. $\frac{3}{38}$\nb. $\frac{9}{100}$\nc. $\frac{1}{4}$\nd. $\frac{5}{19}$\ne. $\frac{3}{10}$

Answer

Explanation:

Step1: Identificar el total de estudiantes

El total de estudiantes es $12 + 6+2=20$.

Step2: Aplicar la fórmula de probabilidad

La probabilidad de elegir un sophomore es el número de sophomores dividido por el total de estudiantes. Hay 6 sophomores y 20 estudiantes en total. La probabilidad $P$ se calcula como $P=\frac{6}{20}=\frac{3}{10}$.

Answer:

E. $\frac{3}{10}$