Performance Task โ Statistics & Probability
Given: Tossing a Coin four times (determine the number of heads in each turn)
Sample Space:
= {(H, H, H, H) (H, H, H, T) (H, H, T, H) (H, T, H, H) (H, H, T, T) (H, T, H, T) (H, T, T, H) (H, T,
T, T) (T, H, H, H) (T, H, H, T) (T, H, T, H) (T, T, H, H) (T, H, T, T) (T, T, H, T) (T, T, T, H) (T, T,
T, T)}
Event:
={(H, H, H, H) (H, H, H, T) (H, H, T, H) (H, T, H, H) (H, H, T, T) (H, T, H, T) (H, T, T, H) (H, T,
T, T) (T, H, H, H) (T, H, H, T) (T, H, T, H) (T, T, H, H) (T, H, T, T) (T, T, H, T) (T, T, T, H)}
Possible Outcomes:
={(H, H, H, H) (H, H, H, T) (H, H, T, H) (H, T, H, H) (H, H, T, T) (H, T, H, T) (H, T, T, H) (H, T,
T, T) (T, H, H, H) (T, H, H, T) (T, H, T, H) (T, T, H, H) (T, H, T, T) (T, T, H, T) (T, T, T, H) (T, T,
T, T)}
Sum of Each
Outcome:
= (H, H, H, H) โ 4
Heads
= (H, H, H, T) โ 3
Heads
= (H, H, T, H) โ 3
Heads
= (H, T, H, H) โ 3
Heads
= (H, H, T, T) โ 2
Heads
= (H, T, H, T) โ 2
Heads
= (H, T, T, H) โ 2
Heads
= (H, T, T, T) โ 1 Head
= (T, H, H, H) โ 3 Heads
= (T, H, H, T) โ 2 Heads
= (T, H, T, H) โ 2 Heads
= (T, T, H, H) โ 2 Heads
= (T, H, T, T) โ 1 Heads
= (T, T, H, T) โ 1 Heads
= (T, T, T, H) โ 1 Heads
= (T, T, T, T) โ 0 Heads
Possible Values:
= {0,1,2,3,4}
In this experiment, the head side of the coin will appear 0 to 4 times.
