Question

The letter tiles C, A, R, E, S
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
𝐴
tile be picked?(1 point)
times

Answer 1

Since there are 5 letter tiles (C, A, R, E, S) in the box, the probability of picking the letter A is \( \frac{1}{5} \).

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

\[
\text{Expected picks of A} = 100 \times \frac{1}{5} = 20
\]

Therefore, Jorelle is expected to pick the letter A **20 times**.