The letter tiles C, A, R, E, S

Question

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)

Answer 1

The letter tiles consist of C, A, R, E, and S, which totals 5 different letters. Each letter tile has an equal probability of being picked. Since there is one A tile, the probability of picking the A tile in a single draw is:

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

Jorelle will pick a tile 100 times. To find the expected number of times he picks the A tile, we multiply the probability of picking A by the total number of picks:

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

Thus, Jorelle is expected to pick the letter A tile 20 times out of 100 draws.