determine the theoretical probability of the spinner not landing on yellow, p(not yellow). a spinner with…
determine the theoretical probability of the spinner not landing on yellow, p(not yellow). a spinner with repeated colors numbered from 1 to 8 is shown. sections 1 and 8 are purple. sections 2 and 3 are yellow. sections 4, 5, and 6 are blue. section 7 is red. 〇0.875 〇0.750 〇0.625 〇0.325
Answer
Explanation:
Step1: Identify total sections
The spinner has 8 sections in total.
Step2: Identify yellow - colored sections
Sections 2 and 3 are yellow, so there are 2 yellow - colored sections.
Step3: Calculate probability of landing on yellow
The probability of landing on yellow, $P(\text{yellow})=\frac{\text{Number of yellow sections}}{\text{Total number of sections}}=\frac{2}{8} = 0.25$.
Step4: Calculate probability of not landing on yellow
Using the formula $P(\text{not }A)=1 - P(A)$, where $A$ is the event of landing on yellow. So $P(\text{not yellow})=1 - P(\text{yellow})=1 - 0.25=0.75$.
Answer:
0.750