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:

The table presents the frequency of occurrences for letters C, A, R, E, and S when Jorelle picks them from the box.
Outcomes C A R E S
Frequency 20 25 30 10 15
Based on the observed frequency, what is the probability that Jorelle will pick a letter R ? The answer should be in percent form.

(1 point)
%

1 answer

To find the probability that Jorelle will pick the letter R, we need to use the following formula:

\[ \text{Probability of picking R} = \frac{\text{Frequency of R}}{\text{Total number of trials}} \]

From the given data:

  • Frequency of R = 30
  • Total number of trials = 100 (since Jorelle picks a tile 100 times)

Now we can calculate the probability:

\[ \text{Probability of picking R} = \frac{30}{100} = 0.30 \]

To express this probability in percent form, we multiply by 100:

\[ 0.30 \times 100 = 30% \]

Thus, the probability that Jorelle will pick the letter R is 30%.