At the Spring Field day students are given one chance to spin a spinner and win a prize. The spinner has 4 equal sections. One of the sections has a color on it, and the other three sections have a number on them. To win, the spinner must stop on a section with a number. If 20 students play a game, how many should be expected to win?
A. 3
B. 10
C. 15
D. 18
I have no idea how to solve this question. Can I have some help please?
They need to land on 3 of the 4 sections.
3/4 * 20 =60 / 4 = 15
Thank you so much Ms. Sue!
You are welcome ILTHSM_!
To solve this question, we need to determine the probability that the spinner will stop on a section with a number.
Given that there are 4 equal sections on the spinner, and only 1 of those sections has a color, it means that 3 out of 4 sections have a number.
Therefore, the probability of winning (stopping on a section with a number) is 3/4.
To find the expected number of students who should win out of 20, we multiply the probability of winning (3/4) by the total number of students who played the game (20).
Expected number of students who should win = (3/4) * 20 = 15
Therefore, the expected number of students who should win is 15.
So, the correct answer is C. 15.