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:

Question

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.

a. X C A R E S P(X)
0.25 0.25 0.35 0.15 0.15

b. X C A R E S P(X)
0.20 0.25 0.30 0.10 0.15

c. X C A R E S P(X)
0.20 0.30 0.25 0.10 0.15

d. X C A R E S P(X)
0.02 0.03 0.03 0.01 0.015

Answer 1

b. X C A R E S P(X)
0.20 0.25 0.30 0.10 0.15

Answer 2

you are positive this is the right answer?

Answer 3

Apologies for the confusion. Let's recalculate the probabilities:

The total number of trials is 100.

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

So, the correct answer is:

b. X C A R E S P(X)
0.20 0.25 0.30 0.10 0.15

This response results in the probabilities totaling 1.