Question

The letter tiles C, A, R, E, S are placed in a box. Without looking, Jorelle picks a letter tile from the box and records the result before placing it back. If he repeats the procedure 100 times, how many times will the letter A tile be picked?(1 point)
_________ times

Answer 1

To find out how many times the letter tile "A" will be picked by Jorelle after repeating the process 100 times, we can first calculate the probability of picking the letter "A" in a single draw.

The total number of letter tiles is 5: C, A, R, E, S. Therefore, the probability of picking the letter "A" is:

\[
P(A) = \frac{\text{Number of A tiles}}{\text{Total number of tiles}} = \frac{1}{5}
\]

If Jorelle picks a tile 100 times, we can calculate the expected number of times he will pick the letter "A" by multiplying the probability of picking "A" by the total number of attempts:

\[
\text{Expected number of A's} = P(A) \times \text{Number of trials} = \frac{1}{5} \times 100 = 20
\]

So, Jorelle is expected to pick the letter "A" tile approximately **20 times**.