Math Problem Statement

Consider all four-digit numbers that can be made from the digits 0-7 (assume that numbers cannot start with 0 ). What is the probability of choosing a random number from this group that is less than or equal to 5000 ? Enter a fraction or round your answer to 4 decimal places, if necessary.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Combinatorics
Number Theory

Formulas

Total four-digit numbers = 7 * 8^3 = 3584
Numbers <= 5000 = 5 * 8^3 = 2560
Probability = Favorable outcomes / Total outcomes

Theorems

Basic Probability Theorem

Suitable Grade Level

Grades 8-10