The letter tile C, A, r, e, and s are placed in a box. Without looking a person picks up 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 The frequency of C is 20 times, the frequency of A is 25 times, the frequency of r is 30 times, the frequency of e is 10 times, and the frequency of S is 15 times. Based on the observed frequency develop a probability model for this experiment. Please express the probability in decimal form rounded to the nearest hundredth.
The total number of trials conducted is 100.
The probability of selecting the letter C is 20/100 = 0.20
The probability of selecting the letter A is 25/100 = 0.25
The probability of selecting the letter r is 30/100 = 0.30
The probability of selecting the letter e is 10/100 = 0.10
The probability of selecting the letter S is 15/100 = 0.15
Therefore, the probability model for this experiment is as follows:
P(C) = 0.20
P(A) = 0.25
P(r) = 0.30
P(e) = 0.10
P(S) = 0.15