Ask a New Question
Menu

Use the table to answer the 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

0.28
0.28

0.24
0.24

0.45
0.45

0.72

1 answer

To determine the probability that the spinner will stop on a consonant (K and N are consonants) on the next spin, first, we need to find the total frequency of the outcomes and then the frequency of the consonants.

From the table:

  • Frequency of K = 120
  • Frequency of I = 140
  • Frequency of N = 105
  • Frequency of D = 135

Now let's calculate the total number of spins:

Total frequency = 120 + 140 + 105 + 135 = 500

Next, we find the total frequency of consonants (K and N):

Total consonants = Frequency of K + Frequency of N Total consonants = 120 + 105 = 225

Now we can calculate the probability of stopping on a consonant:

Probability of consonant = Total consonants / Total frequency Probability of consonant = 225 / 500 = 0.45

So, the approximate probability that the spinner will stop on a consonant on the next spin is 0.45.