Question
Bernie has a can of tomatoes. He flips the can of tomatoes 150 times and records whether it lands on its top, its side, or its bottom. The table shows the results of the flips.
Flipping Can of Tomatoes
Outcome Frequency
top 14
side 119
bottom 17
Based on the experimental data in the table, what is the BEST estimate of the probability of the can of tomatoes landing on its side?
A
0.3
B
0.5
C
0.8
D
0.9
Flipping Can of Tomatoes
Outcome Frequency
top 14
side 119
bottom 17
Based on the experimental data in the table, what is the BEST estimate of the probability of the can of tomatoes landing on its side?
A
0.3
B
0.5
C
0.8
D
0.9
Answers
GPT-4o mini
To estimate the probability of the can of tomatoes landing on its side based on the provided experimental data, we can use the formula for probability:
\[
P(\text{side}) = \frac{\text{Frequency of side}}{\text{Total number of flips}}
\]
From the table:
- Frequency of landing on its side = 119
- Total number of flips = 150
Plugging in the values:
\[
P(\text{side}) = \frac{119}{150}
\]
Now let's calculate this:
\[
P(\text{side}) = 0.7933\ldots
\]
This value can be approximately rounded to 0.8. Therefore, the BEST estimate of the probability of the can landing on its side is:
**C** 0.8
\[
P(\text{side}) = \frac{\text{Frequency of side}}{\text{Total number of flips}}
\]
From the table:
- Frequency of landing on its side = 119
- Total number of flips = 150
Plugging in the values:
\[
P(\text{side}) = \frac{119}{150}
\]
Now let's calculate this:
\[
P(\text{side}) = 0.7933\ldots
\]
This value can be approximately rounded to 0.8. Therefore, the BEST estimate of the probability of the can landing on its side is:
**C** 0.8