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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.

Respuesta :

Number of favourable outcomes = 5

Number of possible outcomes = 26

P(vowel) = 5/26

Answer: 5/26
batolisis

The probability of pulling a vowel out of the hat is [tex]\frac{5}{26}[/tex]

The number of favorable outcomes is [tex]5[/tex]

The number of possible outcomes is [tex]26[/tex]

The number of possible outcomes is the size of the sample space.

Since the sample space

[tex]S=\{\text{all the letters of the alphabet in the hat}\}[/tex]

then, the number of possible outcomes is

[tex]|S|=26[/tex]

The number of favorable outcomes is possible number of vowels that can be gotten from the hat. Since the set of vowels

[tex]V=\{a,e,i,o,u\}[/tex]

then, the number of favorable outcomes is

[tex]|V|=5[/tex]

The probability of pulling a vowel out of the hat

[tex]P(V)=\frac{\text{number of favorable outcomes}}{number of possible outcomes}=\frac{5}{26}[/tex]

Learn more about probability here: https://brainly.com/question/1286075

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