the spinner is equally likely to land on any of the six sections. what is the probability that the spinner…

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? $\frac{2}{9}$ $\frac{1}{2}$ $\frac{2}{3}$ $\frac{5}{6}$

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? $\frac{2}{9}$ $\frac{1}{2}$ $\frac{2}{3}$ $\frac{5}{6}$

Answer

Explanation:

Step1: Identify numbers greater than 4

Numbers greater than 4 are 5 and 6. So there are 2 such numbers.

Step2: Identify shaded - sections

Shaded sections are 1, 3, 5. So there are 3 shaded - sections.

Step3: Identify overlapping elements

The number 5 is both greater than 4 and shaded. We don't double - count it.

Step4: Calculate the number of favorable outcomes

The set of numbers greater than 4 or shaded is {1, 3, 5, 6}, so there are 4 favorable outcomes.

Step5: Calculate the probability

The total number of sections is 6. Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{4}{6}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$