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

1 answer

To determine how many times the letter tile A will be picked when Jorelle selects from the tiles C, A, R, E, S 100 times, we first calculate the probability of picking the letter A in one selection.

There are a total of 5 letter tiles (C, A, R, E, S). The probability of picking the letter A in a single draw is:

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

If Jorelle performs this selection process 100 times, the expected number of times he will pick the letter A is calculated by multiplying the total number of trials (100) by the probability of picking A:

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

Therefore, based on the probability, Jorelle is expected to pick the letter A tile 20 times.