Answer :
Answer:
44%
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the values are is important(0123 is a different password of 3210), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Desired outcomes:
One number, from a set of 10
Three characters, from a set of 26.
They can be in 4 possible orders(CNNN, NCNN, NNCN, NNNC). So
[tex]D = 4P_{10,1}P_{26,3} = 4*\frac{10!}{(10-9)!}*\frac{26!}{(26-3)!} = 624000[/tex]
Total outcomes:
Four characters, from a set of 26 + 10 = 36. So
[tex]T = P_{36,4} = \frac{36!}{(36-4)!} = 1413720[/tex]
What is the approximate probability that exactly one of the four characters will be a number?
[tex]P = \frac{D}{T} = \frac{624000}{1413720} = 0.4414[/tex]
So 44%.
Answer:
28%
Step-by-step explanation:
Trust me, it is not 44%
