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.

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

B- X C A R E S
P(X) 0.25 0.25 0.35 0.15 0.15

C- X C A R E S
P(X) 0.20 0.25 0.30 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

what percent?

Answer 2

what about letter r?

Answer 3

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

This probability model is based on the observed frequency given in the problem, with the probabilities calculated by dividing the frequency by the total number of trials (100). The probabilities are rounded to the nearest hundredth.

Answer 4

To convert the probabilities to percent, we can multiply them by 100. So, the probabilities in the model become:

P(C) = 0.20 -> 20%
P(A) = 0.25 -> 25%
P(R) = 0.30 -> 30%
P(E) = 0.10 -> 10%
P(S) = 0.15 -> 15%

Therefore, the probability of selecting the letter C is 20%, the probability of selecting the letter A is 25%, and so on.