To find the expected number of times Jorelle will pick the letter A tile, we can first determine the probability of picking the A tile in a single draw from the box.
The letters in the box are C, A, R, E, and S. So there are 5 letter tiles in total.
The probability of picking the A tile in one draw is:
\[ P(A) = \frac{\text{Number of A tiles}}{\text{Total number of tiles}} = \frac{1}{5} \]
Jorelle is picking tiles 100 times. We can use the expected value to find the expected number of times the letter A will be picked:
\[ \text{Expected number of A tiles picked} = P(A) \times \text{Number of draws} = \frac{1}{5} \times 100 = 20 \]
Thus, Jorelle is expected to pick the letter A tile 20 times in 100 draws.