Each letter of the alphabet is written on a separate piece of paper and placed in a box. Find the
probability of drawing a vowel, {a, e, i, o, u}, or a letter in the word "segments"?
I am pretty sure that this is how you do it:
There are 26 letters in the alphabet so if there are five vowels then it would be
5/26
in the word segments 7 letters are used so you don't count the second s
so it would be 7/26
To find the probability of drawing a vowel or a letter in the word "segments," we first need to determine the total number of letters and the number of letters that belong to the set of vowels or the word "segments."
Step 1: Count the total number of letters
There are 26 letters in the English alphabet.
Step 2: Count the number of vowels
Out of the 26 letters, there are 5 vowels: a, e, i, o, and u.
Step 3: Count the number of letters in "segments"
The word "segments" contains 8 letters: s, e, g, m, n, t, s.
Step 4: Calculate the probability
To find the probability, we divide the number of favorable outcomes (letters that are vowels or in the word "segments") by the total number of possible outcomes (all 26 letters).
Number of favorable outcomes = number of vowels + number of letters in the word "segments"
= 5 + 8
= 13
Total number of possible outcomes = 26
Probability = Number of favorable outcomes / Total number of possible outcomes
= 13 / 26
= 1/2
Therefore, the probability of drawing a vowel or a letter in the word "segments" is 1/2 or 0.5.