Question

A student entering a doctoral program in educational psychology is required to select two courses from the list of courses provided as part of his or her program. ​(a) List all possible two​-course selections. ​(b) Comment on the likelihood that EPR 646 and EPR 679 will be selected.

Answer 1

Answer:A student entering a doctoral program in educational psychology is required to select courses from the list of courses provided as part of his or her program.

​(a) List all possible ​-course selections.

​(b) Comment on the likelihood that will be selected

Explanation:

Answer 2

A) A student entering a doctoral program in educational psychology is required to select two courses from the list of courses provided as part of his or her program.

The courses were not listed, but let's assume the courses are:

EPR 646,

EPR 602

EPR 679

EPR 622

EPR 684

In this case, we can see there are 5 possible courses.

Selecting them:

`^5C_2 = (5*4*3*2*1)/(2*(5-2)!) = 10`

Therefore, there are 10 selections.

All possible two course selections:

(622,602); (622, 684); (622, 679); (622, 646); (646, 602); (646, 679)

(646,684); (602, 684); (602, 679);

(679, 684)

b) Likelihood that EPR 646 and EPR 679 will be selected

From the data abeve, EPR 646 and EPR 679 can be selected just once.

Therefore, the likelihood =

P(selecting EPR 646 and EPR 679) =
`(num. of . times. event. occured)/(total. number. of. outcome) =(1)/(10)`

Likelihood that EPR 646 and EPR 679 will be selected is
`(1)/(10)` = 0.1