Question

A spinner has 8 equal-sized sections. Four of the sections are blue, two are red, and two are green. The pointer lands in a red section 8 times in 20 spins. How does this compare to the number of times the pointer is expected to land in a red section?

Answer 1

The experimental outcome is greater than the expected outcome

Explanation:

Given

`n = 8` --- sections

`Blue = 4`

`Red = 2`

`Green = 2`

`Red = 8\ in\ 20` ---- outcome of the experiment

First, we calculate the theoretical probability of Red

`P(Red) = (Red)/(n)`

`P(Red) = (2)/(8)`

`P(Red) = 0.25`

So, in 20 rolls; The expected outcome of Red is:

`Expected = 20 * 0.25`

`Expected = 5`

Given that the experiment produces Red 8 times in 20 spins.

We can conclude that the experimental outcome is greater than the expected outcome