Question

The letter tiles C, A, R, E, S r placed in a box. without looking, Jorelle picks a letter tile from d box n records da result b4 placing it bcl. if he repeats da procedure 100 times, how many times will da will da letter A tile b picked?

Answer 1

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.