Answer:
[tex]\frac{1}{30240}[/tex]
Step-by-step explanation:
Given
ID Card of 5 digits
Possibly Digits = {0,1...,9}
Required
Probability that a card has exact number 94213
First, we have o determine the total possible number of ID card numbers
Let the card number be represented by ABCDE
Given that repetition of digits is not allowed;
A can be any of 10 digits
B can any of the remaining 9 digits
C can be any of the remaining 8 digits
D can be any of the remaining 7 digits
E can be any of the remaining 6 digits
Total number of cards = 10 * 9 *8 * 7 * 6
Total = 30240
Provided that the card number is generated at random; each card number has the same probability of [tex]\frac{1}{30240}[/tex]
Hence, the probability of having 94213 is [tex]\frac{1}{30240}[/tex]
