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.
Based on the observed frequency, the probabilities for each letter are:
P(C) = 20/100 = 0.20
P(A) = 25/100 = 0.25
P(R) = 30/100 = 0.30
P(E) = 10/100 = 0.10
P(S) = 15/100 = 0.15
Therefore, 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