Math Problem Statement

Six fair dice are tossed independently. Find the probability that the number of 1’s minus the number of 2’s will be 3.

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution
Combinatorics

Formulas

Binomial Probability Formula: P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Combinatorial Selection: C(n, k) = n! / (k!(n - k)!)

Theorems

Binomial Theorem
Law of Total Probability

Suitable Grade Level

Grades 10-12