The letter tiles C, A, R, E, S are placed in a box. Without looking Jorelle picks a letter tiles from the box and records the results before placing it back. He repeats the procedure 100 times and observes the following results.

Question

C. 20
A. 25
R. 30
E. 10
S. 15
Based on the observed frequency develop a probability model for this experiment. Express the probability in decimal form rounded to the nearest hundredth.
A. C 0.20, A 0.25, R 0.30, E 0.10, S 0.15
B. C 0.02, A 0.03, R 0.03, E 0.01, S 0.015
C. C 0.20, A 0.30, R 0.25, E 0.10, S 0.15
D. C 0.25, A 0.25, R 0.35, E 0.15, S 0.15

Answer 1

The correct answer is A. C 0.20, A 0.25, R 0.30, E 0.10, S 0.15.

To find the probability for each letter, you divide the frequency of each letter by the total number of trials (100).

For example:
- Probability of getting C = 20/100 = 0.20
- Probability of getting A = 25/100 = 0.25
- Probability of getting R = 30/100 = 0.30
- Probability of getting E = 10/100 = 0.10
- Probability of getting S = 15/100 = 0.15

Therefore, the probability model for this experiment is:
C 0.20, A 0.25, R 0.30, E 0.10, S 0.15