Question

the stick game, played by various native american tribes, involves dropping flat sticks painted on one side and unpainted on the other side. points are awarded based on the combination of painted and unpainted sides that land face up.
this table shows the frequency of the points awarded to players in 50 turns during one game.
points awarded to players

point value	2	3	5	10

based on these data, which table shows the probability of awarding each possible point value to a player on a turn?
option 1:

outcome	2	3	5	10

option 2:

outcome	2	3	10

option 3:

outcome	2	3	5	10

option 4:

outcome	2	3	5	10

Explanation:

Step1: Define probability formula

Probability of an outcome = $\frac{\text{Number of times outcome occurs}}{\text{Total number of trials}}$

Step2: Identify total trials

Total turns = 50

Step3: Calculate each probability

• For 2 points: $\frac{21}{50}$
• For 3 points: $\frac{18}{50}$
• For 5 points: $\frac{6}{50}$
• For 10 points: $\frac{5}{50}$

Step4: Match to correct table

The calculated probabilities match the bottom-right table.

Answer:

Outcome | 2 | 3 | 5 | 10
--- | --- | --- | --- | ---
Probability | $\frac{21}{50}$ | $\frac{18}{50}$ | $\frac{6}{50}$ | $\frac{5}{50}$