contestada

Four students attempt to register online at the same time for an Introductory Statistics class that is full. Two are freshmen and two are sophomores. They are put on a wait list. Prior to the start of the semester, two enrolled students drop the course, so the professor decides to randomly select two of the four wait list students and gives them a seat in the class.What is the probability that both students selected are freshmen?
a. [tex]\frac{1}{6}[/tex]
b. [tex]\frac{1}{2}[/tex]
c. [tex]\frac{1}{12}[/tex]
d. [tex]\frac{1}{4}[/tex]

Respuesta :

TomShelby

Answer:

a. [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

To know the combined probability we myltiply the chances of the first positive outcome and multiply it by the chance of the second positive outcome:

the probability in the first case will be of 2 positive outcome (there are two freshmen) over 4 possible outcome:  2/4 = 1/2

for the secodn case, there will be a single positive outcome (one of the freshmen was picked already) over 3 possible outcome (the freshmen and the two sophomores = 1/3

We now calculate:

2/4 x 1/3 = 2/12 = 1/6