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 a letter worth 3 points. the probability of selecting a letter worth 3 points is (type an integer or a simplified fraction).

Explanation:

Step1: Count letters worth 3 points

From the diagram, letters worth 3 points are B (2 tiles), C (2 tiles), M (2 tiles), P (2 tiles). So the total number of tiles with 3 - point letters is $2 + 2+2 + 2=8$.

Step2: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the total number of tiles is 100 and the number of favorable outcomes (selecting a 3 - point letter) is 8. So $P=\frac{8}{100}=\frac{2}{25}$.

Answer:

$\frac{2}{25}$