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

0.28
0.28

0.72
0.72

0.24
0.24

0.45

1 answer

To determine the probability of the spinner stopping on a consonant, let's first identify the letters on the spinner: K, I, N, D.

Among these letters:

  • Consonants: K, N, D (3 consonants)
  • Vowel: I (1 vowel)

The total number of sections on the spinner is 4.

To find the probability of landing on a consonant, we can use the formula:

\[ \text{Probability of consonant} = \frac{\text{Number of consonants}}{\text{Total number of sections}} = \frac{3}{4} \]

Now, simplifying this gives:

\[ \frac{3}{4} = 0.75 \]

Thus, the approximate probability that the spinner will stop on a consonant on the next spin is 0.75. However, since this value is not among the given options, it appears there might have been an oversight.

Looking at the options again:

  • 0.28
  • 0.72
  • 0.24
  • 0.45

Since 0.75 is closest to 0.72, the most appropriate answer based on the choices provided is 0.72.