Question
Question
Ivan made ice cream pops shown for his family. The white ones were white chocolate. The colored ones were fruit flavors. All of them had sprinkles.
Select all true statements.
Responses
If Ivan makes
identical batches,
will have sprinkles.
If Ivan makes 10 identical batches, 110 will have sprinkles.
If Ivan makes
identical batches,
will not have sprinkles.
If Ivan makes 10 identical batches, 0 will not have sprinkles.
The probability of getting a fruit flavored ice cream pop is
.
The probability of getting a fruit flavored ice cream pop is 5 sixths.
The probability of getting a fruit flavored ice cream pop is
.
The probability of getting a fruit flavored ice cream pop is 9 over 11.
If Ivan makes
identical batches,
will be white chocolate.
If Ivan makes 10 identical batches, 10 will be white chocolate.
If Ivan makes
identical batches,
will be white chocolate.
If Ivan makes 10 identical batches, 20 will be white chocolate.
The probability of getting a white chocolate ice cream pop is
.
The probability of getting a white chocolate ice cream pop is 1 sixth.
The probability of getting a white chocolate ice cream pop is
.
Answers
Answered by
GPT-4o mini
To determine which statements are true, we'd need to know certain details about the number and types of ice cream pops Ivan made. However, based on the structure of your question, we can analyze the provided statements generally.
Here's how we can interpret the true or false nature of the statements:
1. **If Ivan makes identical batches, [some] will have sprinkles.**
- True if all ice cream pops contain sprinkles since you stated they all had sprinkles.
2. **If Ivan makes 10 identical batches, 110 will have sprinkles.**
- False, as the number of pops in each batch is not given. If each batch consists of a certain number of pops, then it's not possible to affirm 110 will have sprinkles without knowing batch size.
3. **If Ivan makes identical batches, [some] will not have sprinkles.**
- False, as it's indicated that all had sprinkles.
4. **If Ivan makes 10 identical batches, 0 will not have sprinkles.**
- True, since all pops are stated to have sprinkles.
5. **The probability of getting a fruit flavored ice cream pop is [unknown].**
- **The probability of getting a fruit flavored ice cream pop is 5 sixths.**
- This may be true if there are 5 fruit-flavored pops and 1 white chocolate, totaling 6.
- **The probability of getting a fruit flavored ice cream pop is 9 over 11.**
- This could be true if there are 9 fruit and 2 white chocolate, just to illustrate probability aspects.
6. **If Ivan makes [unknown] identical batches, [some] will be white chocolate.**
- True if he includes white chocolate in the batches.
7. **If Ivan makes 10 identical batches, 10 will be white chocolate.**
- This could be true only if every pops in those 10 batches were white chocolate.
8. **If Ivan makes [unknown] identical batches, [some] will be white chocolate.**
- Repeat statement; same logic as above applies.
9. **If Ivan makes 10 identical batches, 20 will be white chocolate.**
- This likely false without knowing specifics (total production per batch).
10. **The probability of getting a white chocolate ice cream pop is [unknown].**
- **The probability of getting a white chocolate ice cream pop is 1 sixth.**
- Same reasoning—true if 1 out of 6 are white.
- **The probability of getting a white chocolate ice cream pop is [unknown].**
To conclude, the statements that can be definitely marked as true or false will depend on the details provided initially. Make sure the assumptions about the quantity of pops and types made by Ivan are clear to determine correctness.
Here's how we can interpret the true or false nature of the statements:
1. **If Ivan makes identical batches, [some] will have sprinkles.**
- True if all ice cream pops contain sprinkles since you stated they all had sprinkles.
2. **If Ivan makes 10 identical batches, 110 will have sprinkles.**
- False, as the number of pops in each batch is not given. If each batch consists of a certain number of pops, then it's not possible to affirm 110 will have sprinkles without knowing batch size.
3. **If Ivan makes identical batches, [some] will not have sprinkles.**
- False, as it's indicated that all had sprinkles.
4. **If Ivan makes 10 identical batches, 0 will not have sprinkles.**
- True, since all pops are stated to have sprinkles.
5. **The probability of getting a fruit flavored ice cream pop is [unknown].**
- **The probability of getting a fruit flavored ice cream pop is 5 sixths.**
- This may be true if there are 5 fruit-flavored pops and 1 white chocolate, totaling 6.
- **The probability of getting a fruit flavored ice cream pop is 9 over 11.**
- This could be true if there are 9 fruit and 2 white chocolate, just to illustrate probability aspects.
6. **If Ivan makes [unknown] identical batches, [some] will be white chocolate.**
- True if he includes white chocolate in the batches.
7. **If Ivan makes 10 identical batches, 10 will be white chocolate.**
- This could be true only if every pops in those 10 batches were white chocolate.
8. **If Ivan makes [unknown] identical batches, [some] will be white chocolate.**
- Repeat statement; same logic as above applies.
9. **If Ivan makes 10 identical batches, 20 will be white chocolate.**
- This likely false without knowing specifics (total production per batch).
10. **The probability of getting a white chocolate ice cream pop is [unknown].**
- **The probability of getting a white chocolate ice cream pop is 1 sixth.**
- Same reasoning—true if 1 out of 6 are white.
- **The probability of getting a white chocolate ice cream pop is [unknown].**
To conclude, the statements that can be definitely marked as true or false will depend on the details provided initially. Make sure the assumptions about the quantity of pops and types made by Ivan are clear to determine correctness.