if you spin the spinner 11 times, what is the best prediction possible for the number of times it will land…
if you spin the spinner 11 times, what is the best prediction possible for the number of times it will land on yellow or pink? times
Answer
Explanation:
Step1: Count total sections and favorable sections
Assume the spinner has 10 equal - sized sections, with 3 pink and 5 yellow sections. So there are 3 + 5 = 8 favorable sections out of 10 total sections.
Step2: Calculate the probability
The probability $P$ of landing on yellow or pink is $P=\frac{8}{10}=\frac{4}{5}$.
Step3: Predict the number of times
If we spin 11 times, the best - prediction is the expected value. The expected value $E$ is given by $E = n\times P$, where $n = 11$ and $P=\frac{4}{5}$. So $E=11\times\frac{4}{5}=\frac{44}{5}=8.8$. Since we can't have a fraction of a spin in practice, we can say about 9 times (rounding up).
Answer:
9