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?

Answer 1

To find out how many times the letter tile A will be picked when Jorelle draws from the tiles C, A, R, E, S, we can use the concept of probability.

There are a total of 5 letter tiles:

• C
• A
• R
• E
• S

The probability of Jorelle picking the letter A in one draw is:

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

Since Jorelle repeats the drawing procedure 100 times, the expected number of times he will pick the letter A can be calculated using the formula for expected value:

\[ \text{Expected number of A's} = P(A) \times \text{Total draws} = \frac{1}{5} \times 100 = 20 \]

Therefore, Jorelle is expected to pick the letter A tile approximately 20 times in 100 draws.