Question

You spin a spinner with 4 sections 1 yellow (y) , 1 purple (p) 1 red (r) and 1 blue. which is the sample space for one spin of this spinner

A) {y}
B) {y,p,r}
C) {p,r,b}
D) {y,p,r,b}
E) {p}

Answer 1

The sample space for one spin of the spinner is {y, p, r, b}. Option D is answer.

Step-by-step explanation:

The sample space of an experiment refers to the set of all possible outcomes. In this case, the experiment is spinning the spinner. The spinner has four sections, each with a different color (yellow, purple, red, blue). Therefore, there are four possible outcomes: the spinner can land on the yellow section (y), the purple section (p), the red section (r), or the blue section (b).

Therefore, the sample space for one spin of the spinner is {y, p, r, b}.

The other options are incorrect because:

Option A: {y} only includes the outcome "yellow" and excludes the other three possible outcomes.

Option B: {y, p, r} includes only three of the four possible outcomes.

Option C: {p, r, b} only includes three of the four possible outcomes.

Option E: {p} only includes the outcome "purple" and excludes the other three possible outcomes.

Option D is answer.