Outcome K , I, N, D,.
Frequency K 100, I 140, N 105, D 135.
A spinner is divided into 4 sections labeled as k, I, N, D.
Xavier reproduce the wheel and uses a computer to simulate the Outcome of 500 spins. What is the approximate probability that the spinner will stop on a consonant on the spln
To find the probability of the spinner stopping on a consonant, we need to first determine which letters are consonants. In the given outcome, K and D are consonants, while I and N are vowels.
Next, we need to find the total frequency of all consonants. From the given frequency, we know that K appears 100 times and D appears 135 times. Adding these gives a total frequency of consonants as:
Total frequency of consonants = Frequency of K + Frequency of D
= 100 + 135
= 235
Therefore, out of the 500 spins simulated by Xavier's computer, the spinner is expected to stop on a consonant 235 times.
The probability of the spinner stopping on a consonant can be calculated as:
Probability of stopping on a consonant = (Frequency of consonants) / (Total number of spins)
= 235 / 500
= 0.47
Therefore, the approximate probability that the spinner will stop on a consonant on the spin is 0.47 or 47%.
To find the approximate probability that the spinner will stop on a consonant on the spin, we need to calculate the probabilities of landing on each consonant (K, N, and D) and then sum them up.
First, let's find the frequency of consonants:
Frequency of K: 100
Frequency of N: 105
Frequency of D: 135
To calculate the probability, we need to divide the frequency of each consonant by the total number of spins:
Total number of spins: 500
Probability of landing on K: 100 / 500 = 0.2
Probability of landing on N: 105 / 500 = 0.21
Probability of landing on D: 135 / 500 = 0.27
To find the approximate probability of landing on a consonant, we add up the individual probabilities:
0.2 + 0.21 + 0.27 = 0.68
Therefore, the approximate probability that the spinner will stop on a consonant on the spin is 0.68 or 68%.