The game 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 one of the letters to spell the word MIX
To calculate the probability of selecting one of the letters to spell the word MIX, we need to find the sum of the probabilities of selecting each letter in the word, and divide it by the total number of tiles.
The word MIX consists of three letters: M, I, and X.
According to the diagram, there is 1 tile for the letter M and its point value is 3.
There are 9 tiles for the letter I and its point value is 1.
There is 1 tile for the letter X and its point value is 8.
The total number of tiles in scrabble is 100.
The probability of selecting the letter M is 1/100 = 0.01.
The probability of selecting the letter I is 9/100 = 0.09.
The probability of selecting the letter X is 1/100 = 0.01.
To find the probability of selecting one of the letters to spell the word MIX, we add these probabilities:
0.01 + 0.09 + 0.01 = 0.11
Therefore, the probability of selecting one of the letters to spell the word MIX is 0.11, or 11%.