Use the table to answer the question.

Question

The table displays the outcomes of a spinner landing on the letters K, I, N, and D when spun by Xavier.
Outcome K I N D
Frequency 120 140 105 135
A spinner is divided into 4 sections labeled as K
,  I
, N
, D
. Xavier reproduced the wheel and uses a computer to simulate the outcomes of 500 spins. What is the approximate probability that the spinner will stop on a consonant on the next spin?

(1 point)
Responses

0.72
0.72

0.45
0.45

0.24
0.24

0.28
0.28
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Answer 1

To find the probability that the spinner will stop on a consonant on the next spin, we first identify the consonants and vowels in the outcomes.

The letters are:

• K (consonant)
• I (vowel)
• N (consonant)
• D (consonant)

The consonants are K, N, and D, while the vowel is I.

Next, we find the total frequency of all outcomes and the frequency of the consonants.

1. Total Frequency:
   \( 120 + 140 + 105 + 135 = 500 \)

2. Frequency of Consonants (K, N, D):
   \( 120 + 105 + 135 = 360 \)

3. Probability of landing on a consonant:
   This is calculated as the frequency of consonants divided by the total frequency.
   \[ P(\text{consonant}) = \frac{\text{Frequency of Consonants}}{\text{Total Frequency}} = \frac{360}{500} = 0.72 \]

Thus, the approximate probability that the spinner will stop on a consonant on the next spin is:

0.72