Math Problem Statement
Solution
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- Question 1: Probability using a fair six-sided die and combinations.
- Question 3: Finding the minimum number of trials for a success probability greater than 0.99.
- Question 4: Probability of more girls than boys in a family of six children.
- Question 6: Solving for a constant and calculating probabilities with a biased die.
- Question 7: Calculating probabilities related to Mr. Bullar’s car parking habits.
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Here’s a tip:
When tackling probability problems involving binomial distributions, remember the formula:
where is the number of trials, is the probability of success, and is the desired number of successes.
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Math Problem Analysis
Mathematical Concepts
Probability
Combinatorics
Binomial Distribution
Formulas
Binomial Probability Formula: P(X = r) = nCr * p^r * (1-p)^(n-r)
Combination Formula: nCr = n! / (r!(n-r)!)
Theorems
Binomial Theorem
Suitable Grade Level
Grades 10-12
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