Answer:
0.2498
Step-by-step explanation:
Number of 4 digit numbers that can be formed from the digit (0 - 8), assume number can't start from 0
Thus ;
First digit = (1, 2, 3, 4, 5, 6, 7, 8) = 8 ways
Next three digits = (0, 1, 2, 3, 4, 5, 6, 7, 8) = 9 ways
Hence,
Total possible outcomes = sample space = (8 * 9 * 9 * 9) = (8 * 9^3 ) = 8 * 729 = 5832
Required = number greater Than 7000
For number to be greater Than 7000, starting digit should be either 7 or 8
Hence,
First digit = 2 ways
Next three digits = 9 ways
Also excluding 7000
Hence, Number of digits above 7000;
2 * 9^3 = 2 * 729 = 1458 - 1 = 1457
Hence,
Probability = 1457 / 5832
= 0.2498285
= 0.2498
