Question

the game of scrabble has 100 tiles. the diagram shows the number of tiles for each letter and the letters point value. one tile is drawn from scrabbles 100 tiles. find the probability of selecting an m or an n. the probability of selecting an m or an n is (type an integer or a simplified fraction)

Explanation:

Step1: Determine the number of favorable outcomes

From the diagram, the number of \(M\) tiles is \(2\) and the number of \(N\) tiles is \(6\). So the number of favorable outcomes (selecting an \(M\) or an \(N\)) is \(2 + 6=8\).

Step2: Use the probability formula

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). The total number of tiles is \(n = 100\). So \(P=\frac{8}{100}\).

Step3: Simplify the fraction

Simplify \(\frac{8}{100}\) by dividing both the numerator and the denominator by their greatest - common divisor. The GCD of \(8\) and \(100\) is \(4\). So \(\frac{8\div4}{100\div4}=\frac{2}{25}\).

Answer:

\(\frac{2}{25}\)