Respuesta :
In this case, the social security number is 9 digit but you already know the first 4 digit. That means the number you need to guess only 5 digits left. The digit is repeatable. Assuming the digits is 0-9 which was 10 digit variation, the calculation would be:
1/ (10* 10* 10 * 10 * 10) = 1/(10^5)= 1 / 100,000
1/ (10* 10* 10 * 10 * 10) = 1/(10^5)= 1 / 100,000
The probability of getting the correct social security number of the person who was given the receipt is 0.00001 if a social security number consists of nine digits in a particular order, and repetition of digits is allowed.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have a security number consisting of nine digits in a particular order.
Number of digits printed = 4
Number of the digit to be guessed = 9 - 4 ⇒ 5
The digits can be guessed between 0 to 9;
Total number of digits = 10
So the total number of possibilities for the 5 digits = 10×10×10×10×10
[tex]= 10^5[/tex]
The correct security number will be only one
So the favorable outcome = 1
Now, the probability:
[tex]=\frac{1}{10^5}[/tex]
= 0.00001
Thus, the probability of getting the correct social security number of the person who was given the receipt is 0.00001 if a social security number consists of nine digits in a particular order, and repetition of digits is allowed.
Learn more about the probability here:
brainly.com/question/11234923
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