Answer:
[tex]Probability = 0.006033[/tex]
Step-by-step explanation:
Given
[tex]Tries = 1000000[/tex]
Required
Determine the probability of 6 different lower case letters (Question continuation)
There are 26 lower case letters.
The first can be any of letters 26
The second can be any of letters 26 - 1
The third can be any of letters 26 - 2
The fourth can be any of letters 26 - 3
The fifth can be any of letters 26 - 4
The sixth can be any of letters 26 - 5
Number of selection is:
[tex]Selection = 26 * (26 - 1) * (26 - 2) * (26 - 3) * (26 - 4) * (26 - 5)[/tex]
[tex]Selection = 26 * 25 * 24 * 23 * 22 * 21[/tex]
[tex]Selection = 165765600[/tex]
The probability is:
[tex]Probability = \frac{Tries}{Selection}[/tex]
[tex]Probability = \frac{1000000}{165765600}[/tex]
[tex]Probability = 0.00603261472[/tex]
[tex]Probability = 0.006033[/tex] --- approximated
