Case | Box 1 | Box 2 | Box 3 | M and P Representation |
---|---|---|---|---|
Category | Combinations | Permutations |
---|---|---|
eeen eees |
4!/3! = 4 4!/3! = 4 |
|
2 s's |
||
1 s |
eesn |
4!/2! = 12 |
0 s's |
eenn |
4!/(2!2!) = 6 |
2 s's |
essn |
4!/2! = 12 |
1 s |
esnn |
4!/2! = 12 |
0 s's |
||
2 s's |
ssnn |
4!/(2!2!) = 6 |
1 s |
||
Category | Combinations | Permutations |
---|---|---|
iiis iiip |
4!/3! = 4 4!/3! = 4 |
|
2 s's |
||
1 s |
iisp |
4!/2! = 12 |
0 s's |
iipp |
4!/(2!2!) = 6 |
3 s's |
||
2 s's |
issp |
4!/2! = 12 |
1 s |
ispp |
4!/2! = 12 |
0 s's |
||
4 s's |
||
3 s's |
sssp |
4!/3! = 4 |
2 s's |
sspp |
4!/(2!2!) = 6 |
1 s |
||
Total Number of Heads | Number of Possible Outcomes | Possible Outcomes |
---|---|---|
THTTT TTHTT TTTHT TTTTH |
||
HTHTT HTTHT HTTTH THHTT THTHT THTTH TTHHT TTHTH TTTHH |
||
THTHH THHTH THHHT* HTTHH HTHTH HTHHT HHTTH HHTHT HHHTT* |
||
HHHTH* HHTHH HTHHH* THHHH* |
||
Macrostates | Number of Microstates | Microstates |
---|---|---|
HHHHTH HHHTHH HHTHHH HTHHHH THHHHH |
||
and 14 others |
||
and 19 others |
||
and 14 others |
||
TTTTHT TTTHTT TTHTTT THTTTT HTTTTT |
||
Composer | Percentage |
---|---|
k (k spades + [5-k] clubs) | N(k, 5-k) |
---|---|
n | f(n) | 1 - 10f(n) |
---|---|---|
Total | Combinations | Probability |
---|---|---|
Total Heads | Combinations | Probability |
---|---|---|
Agency | Needs Tune-Up | Does Not Need Tune-Up | Total |
---|---|---|---|
i | Pi = 1 - k/[n-(i-1)] |
---|---|
Rating | Odds | Probability |
---|---|---|
Gets Well-Paying Job | Does Not Get Well-Paying Job | Total | |
---|---|---|---|
Labeled Security Risk | Cleared | Total | |
---|---|---|---|
Overall Outcome | Number of Ways This Can Happen | Probability of Each Outcome | Total Probabiliity |
---|---|---|---|
WWW |
|||
XXXW XXX = 2W + 1L |
|||
XXXXW XXXX = 2W + 2L |
|||
XXXXL XXXX = 2L + 2W |
|||
XXXL XXX = 2L + 1W |
|||
LLL |
Overall Outcome | Number of Ways This Can Happen | Probability of Each Outcome | Total Probabiliity |
---|---|---|---|
WWWW |
|||
XXXXW XXXX = 3W + 1L |
|||
XXXXXW XXXXX = 3W + 2L |
|||
XXXXXXW XXXXXX = 3W + 3L |
|||
XXXXXXL XXXXXX = 3L + 3W |
|||
XXXXXL XXXXX = 3L + 2W |
|||
XXXXL XXXX = 3L + 1W |
|||
LLLL |
x (cm) | y (cm) |
---|---|