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 scrabble 100 tiles. Find the probability of selecting one of the letters to spell the word JOB
To calculate the probability of selecting one of the letters to spell the word "JOB", we need to determine the number of tiles for each letter required to spell the word.
In the word "JOB":
- We need 1 "J" tile, which has a frequency of 1 in the diagram.
- We need 1 "O" tile, which has a frequency of 8 in the diagram.
- We need 1 "B" tile, which has a frequency of 2 in the diagram.
Now, let's calculate the probability:
- Number of successful outcomes (required tiles):
= 1 "J" tile * 1 "O" tile * 1 "B" tile
= 1 * 8 * 2
= 16
- Total number of possible outcomes (total tiles):
= total number of tiles in Scrabble
= 100
Therefore, the probability of selecting one of the letters to spell the word "JOB" is:
16/100,
which simplifies to 4/25 or 0.16.