Question

you spin the spinner once. what is p(less than 9 or divisor of 27)? simplify your answer and write it as a fraction or whole number.

Explanation:

Step1: Identify total outcomes

The spinner has 4 sections, so the total number of possible outcomes is $n = 4$.

Step2: List numbers less than 9 and divisors of 27

The numbers on the spinner are 5, 6, 7, 8. All of these numbers are less than 9. The divisors of 27 are 1, 3, 9, 27. None of the numbers on the spinner are divisors of 27. The set of numbers that are less than 9 or a divisor of 27 is {5, 6, 7, 8}.

Step3: Calculate the probability

The number of favorable outcomes $m=4$. The probability formula is $P=\frac{m}{n}$. Substituting $m = 4$ and $n = 4$ gives $P=\frac{4}{4}=1$.

Answer:

1