Sofia spins the pointer of a spinner that has 5 equal sections numbered 1 to 5. Choose True or False for each statement.
A. It is likely that the pointer will land on a factor of 4.
B. It is as likely as not that the pointer will land on an odd number.
C. It is unlikely that the pointer will land on a number greater than 3.
A. False.
B. True.
C. False.
A. True. The factors of 4 are 1, 2, and 4. Since there are 5 sections on the spinner, and only 3 of them are factors of 4, it is likely that the pointer will land on a factor of 4.
B. True. There are 5 sections on the spinner, and 3 of them (1, 3, and 5) are odd numbers. Therefore, it is as likely as not that the pointer will land on an odd number.
C. True. Out of the 5 sections on the spinner, 3 of them (4 and 5) are numbers greater than 3. Since there are more sections that are not greater than 3, it is unlikely that the pointer will land on a number greater than 3.
To answer these statements, we need to understand the concept of probability and factors. Let's break it down step by step:
A. It is likely that the pointer will land on a factor of 4.
To determine if a number is a factor of 4, we need to check if it divides 4 without leaving a remainder. The factors of 4 are 1, 2, and 4. Since there are only 3 factors of 4 and a total of 5 numbers on the spinner, it is possible but not very likely that the pointer will land on a factor of 4. Therefore, the statement is False.
B. It is as likely as not that the pointer will land on an odd number.
There are only 3 odd numbers out of 5 (1, 3, and 5), which means that it is as likely as not to land on an odd number. Therefore, the statement is True.
C. It is unlikely that the pointer will land on a number greater than 3.
There are 2 numbers greater than 3 (4 and 5) out of a total of 5 numbers. Since landing on a number greater than 3 is less likely compared to landing on numbers less than or equal to 3, the statement is True.
In summary,
A. False - It is not likely for the pointer to land on a factor of 4.
B. True - It is as likely as not for the pointer to land on an odd number.
C. True - It is unlikely for the pointer to land on a number greater than 3.