Question

What is the probability of landing on the pink sector? If we take 20 spins, how many times should it land on pink? (theoretical probability)

2. Conduct 20 trials (spins). Summarize the results in the table below.

Spin Number
Color
Spin Number
Color
1
blue
11
blue
2
orange
12
yellow
3
orange
13
pink
4
blue
14
green
5
orange
15
blue
6
pink
16
orange
7
yellow
17
blue
8
orange
18
pink
9
yellow
19
orange
10
yellow
20
orange

3. Calculate the frequency that the spinner landed on a pink sector.
(experimental probability)

4. Are the values for part (1) and part (3) the same?
Why or why not? (use complete sentences)

Answer 1

[AI-generated answer — Bot GPT 3.5]

No, the values for part (1) and part (3) are not the same. The theoretical probability in part (1) is calculated by dividing the number of favorable outcomes (landing on pink) by the total number of possible outcomes (4/12). The experimental probability in part (3) is based on the actual frequencies of landing on pink in the 20 trials conducted. The values can be different because theoretical probability is based on mathematical calculations while experimental probability is based on actual observations and data collected.