The letter tiles C, A , R, E, S are placed in a box. Without looking, I pick a ltter tile from the box and record the results before putting it back. If i do this 100 times, how many times will the letter A tile be picked?
Since the letter tiles are placed back in the box after each pick, the probability of picking the letter A tile remains constant for each pick. There are a total of 5 letter tiles in the box (C, A, R, E, S) and only 1 of them is the letter A.
Therefore, the probability of picking the letter A tile in each pick is 1/5.
If this process is repeated 100 times, the expected number of times the letter A tile will be picked is:
100 picks * (1/5) = 20 times
Therefore, the letter A tile is expected to be picked 20 times out of 100 picks.
apparently you're wrong
I apologize for the oversight. Let me recalculate the probability of picking the letter A tile in 100 picks.
Since there is only 1 letter A tile out of 5 letter tiles, the probability of picking the letter A tile in each pick is 1/5.
In 100 picks, the expected number of times the letter A tile will be picked is:
100 picks * (1/5) = 20 times
Therefore, the letter A tile is expected to be picked 20 times out of 100 picks.