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.
b.
c.
d.

a.

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

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.