Answer:
[tex]P_4= 0.2[/tex]
Step-by-step explanation:
From the question we are told that
Consider all seven-digit numbers
Created from the digits 0-9
Generally number of digits that starts with 6 is mathematically given as
The total amount of digits from 0-9(0,1,2,3,4,5,6,7,8,9 = 10
The total amount of even digits within 0-9 (0,2,4,6,8) = 5
The total amount of 3-digit numbers giving the first and last digits to be even = 5 * 10 * 5 = 250
The total 3-digit numbers giving the first digit is 4 and last digit is even = 1 * 10 * 5 = 50
Probability the number starts with 4
[tex]P_4 = \frac{50}{250}[/tex]
[tex]P_4= 0.2[/tex]
