The letter tiles C

Question

, 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)
%
Remaining Attempts : 3
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Answer 1

To find the probability that Jorelle will pick a letter R based on the observed frequency, we can use the formula for probability:

\[ P(R) = \frac{\text{Frequency of R}}{\text{Total frequency}} \]

From the table, we have:

• Frequency of R = 30
• Total frequency = 20 (C) + 25 (A) + 30 (R) + 10 (E) + 15 (S) = 100

Now plug the values into the probability formula:

\[ P(R) = \frac{30}{100} = 0.3 \]

To express this as a percentage, we multiply by 100:

\[ P(R) = 0.3 \times 100 = 30% \]

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