## Math Problem Statement

39.7% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Probability

Binomial Distribution

### Formulas

Binomial Probability Formula: P(X = k) = (n choose k) * p^k * (1 - p)^(n-k)

Binomial Coefficient: (n choose k) = n! / (k!(n-k)!)

### Theorems

Binomial Theorem

### Suitable Grade Level

Grades 10-12

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