Question

four tiles lettered m, a, t, and h are facedown on a table. a tile is selected, the letter is recorded, the tile is replaced, and the process is repeated. what is the theoretical probability of selecting the letter t?

1/4

1/3

3/4

4

Explanation:

Step1: Determine the number of favorable outcomes

There is \(1\) tile with the letter \(T\). So the number of favorable outcomes \(n(F)=1\).

Step2: Determine the total number of possible outcomes

There are \(4\) tiles in total (lettered \(M\), \(A\), \(T\), \(H\)). So the total number of possible outcomes \(n(S) = 4\).

Step3: Use the probability formula

The probability formula is \(P=\frac{n(F)}{n(S)}\). Substituting the values, we get \(P=\frac{1}{4}\).

Answer:

\(\frac{1}{4}\) (corresponding to the first option)