Each letter of the alphabet is a written on a separate piece of paper and placed in a box. Find the probability of a drawing a vowel a,e,i,o,u or a letter in the word sum.
Thank you
There are 26 letters in the English alphabet, so there are 26 pieces of paper in the box.
The possible successful draws are the letters a,e,i,o,u, and s,(u) and m for a total of 7 letters, excluding y which is a semi-vowel.
What is the probability of drawing one of the 7 letters from 26?
To find the probability of drawing a vowel (a, e, i, o, or u) or a letter in the word "sum" from a box containing separate pieces of paper with all the letters of the alphabet, we need to calculate the following:
1. Determine the total number of letters in the alphabet. Since there are 26 letters, the total number of letters in the box is 26.
2. Count the number of vowels in the alphabet, which are a, e, i, o, and u. There are 5 vowels.
3. Count the number of letters in the word "sum." The word "sum" has 3 letters.
4. Calculate the total number of desired outcomes. This is the count of vowels (5) plus the count of letters in the word "sum" (3), which equals 8.
5. Calculate the probability by dividing the total number of desired outcomes (8) by the total number of possible outcomes (26). So, the probability is 8/26, which can simplify to 4/13.
Therefore, the probability of drawing a vowel or a letter in the word "sum" is 4/13.