Question

each letter of the alphabet is written on a piece of paper and put in a hat. if a piece of paper is chosen at random, what is the probability that it will be a vowel? the number of favorable outcomes is
the number of possible outcomes is
so p(vowel) =
, or about
percent.

Explanation:

Step1: Identify favorable outcomes

There are 5 vowels (a, e, i, o, u) in the English - alphabet. So the number of favorable outcomes is 5.

Step2: Identify possible outcomes

There are 26 letters in the English - alphabet. So the number of possible outcomes is 26.

Step3: Calculate probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}}$. So $P(\text{vowel})=\frac{5}{26}$.

Step4: Convert to percentage

$\frac{5}{26}\approx0.1923$, and $0.1923\times100 = 19.23\%$.

Answer:

The number of favorable outcomes is 5.
The number of possible outcomes is 26.
So $P(\text{vowel})=\frac{5}{26}$, or about 19.23 percent.