rina spins the spinner below 30 times. a success occurs when the spinner lands on a number that is greater…

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? p(success)=1/4; p(failure)=7/8

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? p(success)=1/4; p(failure)=7/8

Answer

Explanation:

Step1: Count total outcomes

The spinner has 8 sections, so total outcomes = 8.

Step2: Count successful outcomes

Numbers greater than 6 are 7 and 8. So successful outcomes = 2.

Step3: Calculate probability of success

$P(\text{success})=\frac{\text{successful outcomes}}{\text{total outcomes}}=\frac{2}{8}=\frac{1}{4}$

Step4: Calculate probability of failure

$P(\text{failure}) = 1 - P(\text{success})=1-\frac{1}{4}=\frac{3}{4}$

Answer:

$P(\text{success})=\frac{1}{4};P(\text{failure})=\frac{3}{4}$