Question

rina spins the spinner below 30 times. a success occurs when the spinner lands on a number that is greater than 6. what is the probability of a success and a failure for this experiment? options: p(success) = 1/4; p(failure) = 7/8; p(success) = 1/4; p(failure) = 3/4

Explanation:

Step1: Count total sections

The spinner is divided into 8 equal sections (numbers 1,2,3,4,5,6,7,8).

Step2: Identify success numbers

Numbers greater than 6: 7,8 → 2 numbers.

Step3: Calculate P(success)

Probability = $\frac{\text{Success outcomes}}{\text{Total outcomes}}$ = $\frac{2}{8}$ = $\frac{1}{4}$.

Step4: Calculate P(failure)

Failure outcomes = Total - Success = 8 - 2 = 6. So P(failure) = $\frac{6}{8}$ = $\frac{3}{4}$.

Answer:

P(success) = $\frac{1}{4}$; P(failure) = $\frac{3}{4}$ (the second option)