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 total number of trials is 100.

The probability of selecting C is 20/100 = 0.20
The probability of selecting A is 25/100 = 0.25
The probability of selecting R is 30/100 = 0.30
The probability of selecting E is 10/100 = 0.10
The probability of selecting S is 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