Question

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.

Answer 1

The probability of selecting each letter can be found by dividing the frequency by the total number of trials:

- P(C) = 20/100 = 0.2
- P(A) = 25/100 = 0.25
- P(R) = 30/100 = 0.3
- P(E) = 10/100 = 0.1
- P(S) = 15/100 = 0.15

We can check that these probabilities add up to 1:

0.2 + 0.25 + 0.3 + 0.1 + 0.15 = 1

Therefore, the probability model for this experiment is:

- P(C) = 0.2
- P(A) = 0.25
- P(R) = 0.3
- P(E) = 0.1
- P(S) = 0.15