Question

The letters 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?

Answer 1

Since Jorelle is replacing the letter tile after each pick, the probability of picking the letter A is the same for each pick.

There are 5 letters in the box, and only 1 of them is A. Therefore, the probability of picking the letter A on any one draw is:

P(A) = 1/5

So out of 100 draws, we would expect Jorelle to pick the letter A:

Expected number of A picks = (P(A)) x (total number of draws)

Expected number of A picks = (1/5) x 100

Expected number of A picks = 20

Therefore, we would expect Jorelle to pick the letter A 20 times out of 100 draws. However, since this is a probability problem, there is some variation in the actual number of A picks we might observe in 100 trials.