Question

Maria will spin the arrow on one of the three spinners shown below. If the arrowstops on yellow or orange, she will win a prize.Part A: Which spinner will give Maria the best probability of winning a prize?Part B: Explain why the spinner you chose will give Maria the best probability ofwinning a prize.Show your work.

Answer 1

ANSWER and EXPLANATION

We want to identify the spinner that will give Maria the best probability of winning a prize.

Maria will win a prize if the spinner stops on yellow or orange.

The spinner that will give Maria the best probability is Spinner B.

This is because the probability of the spinner stopping on yellow or orange increases as the sizes of the yellow and orange portion of the spinner increases.

This implies that the spinner with the largest area covered by yellow or orange will have the best probability of stopping on yellow or orange.

Hence, Spinner B will give Maria the best probability of winning a prize because it has the largest area of yellow and orange on it.