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 odd number or a number less than 7.
the probability is . (type an integer or a fraction. simplify your answer.)

Explanation:

Step1: List odd - numbered and less - than - 7 numbers

Odd numbers from 1 - 8 are 1, 3, 5, 7. Numbers less than 7 are 1, 2, 3, 4, 5, 6.

Step2: Find the union of the two sets

The union of the set of odd numbers and the set of numbers less than 7 is {1, 2, 3, 4, 5, 6, 7}.

Step3: Calculate the probability

The total number of possible outcomes is 8. The number of favorable outcomes is 7. The probability formula is $P(A)=\frac{n(A)}{n(S)}$, where $n(A)$ is the number of favorable outcomes and $n(S)$ is the total number of possible outcomes. So $P=\frac{7}{8}$.

Answer:

$\frac{7}{8}$