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)

Answer 1

To find the expected number of times Jorelle will pick the letter tile A from the box, we first need to calculate the probability of picking the letter A in a single pick.

The letter tiles in the box are: C, A, R, E, S. This gives us a total of 5 letter tiles.

The probability of picking the letter A in one pick is:

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

Since Jorelle is repeating the procedure 100 times, we can find the expected number of times he picks the letter A by multiplying the probability of picking A by the number of trials (picks):

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

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