Question

the spinner show has 12 equal section.

if the spinner is spun 50 times what is a reasonable prediction for the number of times it will land on an odd number

Answer 1

If the spinner has 12 equal sections, and we assume the sections are numbered 1 through 12, the odd numbers within this range are 1, 3, 5, 7, 9, and 11. There are a total of 6 odd numbers.

To find the probability of landing on an odd number, you can divide the number of odd sections by the total number of sections:

\[
\text{Probability of landing on an odd number} = \frac{\text{Number of odd sections}}{\text{Total sections}} = \frac{6}{12} = \frac{1}{2}
\]

If the spinner is spun 50 times, we can predict the number of times it will land on an odd number by multiplying the total number of spins by the probability:

\[
\text{Expected number of times it lands on an odd number} = 50 \times \frac{1}{2} = 25
\]

Thus, a reasonable prediction for the number of times the spinner will land on an odd number in 50 spins is **25**.