Experiment |
Sample Space S |
Size of Sample Space n(S) |
Event in English |
Event as a Set E |
Size of Event n(E) |
Probability of Event |
Single Coin flip |
S1 = { H,T } |
2 |
One head appears |
E1 = { H } |
1 |
P(E1) = |
n(E1)
n(S1) |
= |
1 2 |
|
Double Coin flip |
S2 = |
|
HH, HT, TH, TT |
|
|
4 |
At least one head appears |
E2 = |
|
HH, HT, TH |
|
|
3 |
P(E2) = |
n(E2)
n(S2) |
= |
3 4 |
|
Triple Coin flip |
S3 = |
|
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT |
|
|
8 |
At LEAST two heads appear |
E3 = |
|
HHH, HHT, HTH, THH |
|
|
4 |
P(E3) = |
n(E3)
n(S3) |
= |
4 8 |
|
At MOST two heads appear |
F3 = |
|
HHT, HTH, HTT, THH, THT, TTH, TTT |
|
|
7 |
P(F3) = |
n(F3)
n(S3) |
= |
7 8 |
|
The coins do not all show the same face |
G3 = |
|
HHT, HTH, HTT, THH, THT, TTH |
|
|
6 |
P(G3) = |
n(G3)
n(S3) |
= |
6 8 |
|