Answer:
0,026%
Step-by-step explanation:
We have 26 letters in the alphabet and 5 of them are vowels.
When typing the first letter, we need it to be a vowel. As there are 5 vowels, the probability of one of them being typed is 5/26 (we have 5 right options in a total of 26).
Now, when typing the 2nd letter, we will assume that we already had typed a vowel because that's what we need. So now we have 4 options to be typed because we can't repeat the vowel. The probability of getting a vowel on the 2nd place is 4/26.
On the 3rd place we will have 3 vowels available and the probability of typing another vowel is 3/26.
On the 4th place we will have 2 vowels available and the probability of typing another vowel is 2/26.
As we need this to happen all at the same time, we need to multiply all the probabilities. That is
5/26 * 4/26 * 3/26 * 2/26 = 0,026%
Therefore, the probability of the 4 will be vowels is 0,026%.
Answer:
2/13; 15.38%; 0.154
Step-by-step explanation:
Since total number of letters in the alphabet is equal to 26, this will give the total outcome.
If 4 letters are typed, without repetition, the expected outcome is 4 since there are no repetition.
Probability = expected number of outcome/total number of outcome
Probability that all 4 will be vowels will be;
P(all vowels) = 4/26 = 2/13
Expressing 2/13 as percent, we will have;
2/13 × 100
= 200/13
= 15.38%
Expressing 2/13 as decimal will give;
2/13 = 0.1538
2/13 = 0.154( to 3 decimal places)
Note that the third digits after the decimal point 3 is rounded off to 4 because the number succeeding it is 8 which greater than 4
