Question

a student entering a doctoral program in educational psychology is required to select three courses from the list of courses provided as part of his or her program.
(a) list all possible three - course selections.
(b) comment on the likelihood that epr 695, epr 638, and epr 654 will be selected.
click the icon to view the course list.
(a) select all the possible three - course selections below.
a. 695, 654, 622
b. 624, 654, 622
c. 695, 624, 654
d. 638, 624, 654
e. 695, 638, 624
f. 695, 624, 622
g. 622, 676, 622
h. 695, 638, 622
i. 624, 622, 624
j. 638, 654, 622
k. 695, 695, 638
l. 638, 624, 622
m. 695, 695
n. 695, 638, 654

Explanation:

Step1: Identify valid 3-course sets

Valid selections are unique 3 distinct courses (no duplicates, correct length). Reject options with duplicates (G, I, K) or <3 courses (M).

Step2: Count total valid selections

Count all valid options: A, B, C, D, E, F, H, J, L, N → 10 total.

Step3: Calculate target selection probability

The target set (695, 638, 654) is option N, 1 out of 10 total.

Answer:

(a)

A. 695, 654, 622
B. 624, 654, 622
C. 695, 624, 654
D. 638, 624, 654
E. 695, 638, 624
F. 695, 624, 622
H. 695, 638, 622
J. 638, 654, 622
L. 638, 624, 622
N. 695, 638, 654

(b)

The likelihood that EPR 695, EPR 638, and EPR 654 are selected is $\frac{1}{10}$, or a 10% chance, since this specific combination is 1 out of 10 total valid unique 3-course selections.