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insens350 [35]
1 year ago
13

4 letters are typed, without repetition. What is the probability that all 4 will be vowels? Write your answer asa percent. Round

your answer to three decimal places.The probability is
Mathematics
1 answer:
Marysya12 [62]1 year ago
3 0

There are 26 letters in the alphabet, 5 are vowels, therefore, the probability of choosing a vowel the first time is:

\frac{5}{26},

and the second time is:

\frac{4}{25}\text{.}

Continuing with this reasoning, we get that the probabilities each time are:

\frac{5}{26},\frac{4}{25},\frac{3}{24},\frac{2}{23}\text{.}

Finally, the probability that you get all vowels is the product of the probabilities:

\frac{1}{2990}\text{.}

Writing the above result as a percentage we get:

0.033\%.

Answer:

0.033\%\text{.}

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