Math Problem Statement

Suppose a biased coin comes up heads 40% of the time and tails 60% of the time. What is the probability of getting between 2 and 4 heads in 10 flips?

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution

Formulas

P(k heads) = \binom{n}{k} p^k (1-p)^{n-k}
Binomial Coefficient: \binom{n}{k} = \frac{n!}{k!(n-k)!}

Theorems

Binomial Probability Theorem

Suitable Grade Level

Grades 9-12