Question

the letters that spell tennessee are each written on separate tiles lying facedown on a table. a tile is selected at random, the letter is recorded, and then the tile is placed facedown on the table. then the process repeats. what is the theoretical probability of choosing a tile with the letter e? 1/9 1/3 2/9 4/9

Explanation:

Step1: Count total number of letters

The word TENNESSEE has 9 letters.

Step2: Count number of E's

The letter E appears 4 times.

Step3: Calculate probability

Probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, number of favorable outcomes (selecting E) is 4 and total number of outcomes is 9. So \(P = \frac{4}{9}\).

Answer:

\(\frac{4}{9}\) (the fourth option)