A spinner is divided into 4 sections labeled as K I N D Xavier reproduced the wheel and uses a computer to simulate the outcome of 500 spins. What is the probability that the spinner will stop on a consonant on the next spin?
The frequency of C is 20
The frequency of a is 25
Of frequency of r is 30
The frequency of e is 10
The frequency of s is 15
First, we need to calculate the total frequency of the consonants on the spinner:
Total frequency of consonants = frequency of C + frequency of R + frequency of S
Total frequency of consonants = 20 + 30 + 15 = 65
Next, we calculate the total frequency of all possible outcomes of the spinner:
Total frequency of all outcomes = frequency of K + frequency of I + frequency of N + total frequency of consonants
Total frequency of all outcomes = 25 + 10 + X + 65 = 500
X = 500 - 25 - 10 - 65
X = 400
Now we can calculate the probability of the spinner stopping on a consonant on the next spin:
Probability = Total frequency of consonants / Total frequency of all outcomes
Probability = 65 / 500
Probability = 0.13 or 13%
Therefore, the probability that the spinner will stop on a consonant on the next spin is 13%.