The letter tiles C, A, R, E , and S are placed in a box. Without looking, Jorelle picks a letter tile from the box and records the result before placing it back. He repeats the procedure 100 times and observes the following results: Outcomes C A R E S Frequency 20 25 30 10 15 Based on the observed frequency, develop a probability model for this experiment. Express the probability in decimal form, rounded to the nearest hundredth.
To find the probability for each letter, we divide the frequency of each letter by the total number of trials (100).
Probability of picking the letter C: 20/100 = 0.20
Probability of picking the letter A: 25/100 = 0.25
Probability of picking the letter R: 30/100 = 0.30
Probability of picking the letter E: 10/100 = 0.10
Probability of picking the letter S: 15/100 = 0.15
So the probability model for this experiment is:
P(C) = 0.20
P(A) = 0.25
P(R) = 0.30
P(E) = 0.10
P(S) = 0.15