Question

the spinner is equally likely to land on any of the six sections. what is the probability that the spinner will land on a number greater than 4 or on a shaded section? $\frac{2}{9}$ $\frac{1}{2}$ $\frac{2}{3}$ $\frac{5}{6}$

Explanation:

Step1: Identify favorable outcomes

Numbers greater than 4 are 5 and 6. Shaded - numbered sections are 1, 3, 5. The set of numbers that are either greater than 4 or shaded is {1, 3, 5, 6}. So, there are 4 favorable outcomes.

Step2: Calculate probability

The total number of sections is 6. The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So, $P = \frac{4}{6}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$