Question

it is equally probable that the pointer on the spinner shown will land on any one of the eight regions, numbered 1 through 8. if the pointer lands on a borderline, spin again. find the probability that the pointer will stop on an even number or a number greater than 4. the probability is □ (type an integer or a fraction. simplify your answer.)

Explanation:

Step1: Identify favorable outcomes

The even - numbered regions are 2, 4, 6, 8 and the numbers greater than 4 are 5, 6, 7, 8. The set of numbers that are either even or greater than 4 is {2, 5, 6, 7, 8}, and the number of favorable outcomes $n = 5$.

Step2: Identify total outcomes

The spinner has 8 numbered regions from 1 to 8, so the total number of possible outcomes $N=8$.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{n}{N}$. Substituting $n = 5$ and $N = 8$ into the formula, we get $P=\frac{5}{8}$.

Answer:

$\frac{5}{8}$