Probability Solver Skill

Solves probability problems covering combinatorics, conditional probability, and distributions with detailed steps.

Usage

python3 -c "
from math import comb, factorial
# Combinations: 52 choose 5 (poker hands)
print(f'5-card hands: {comb(52, 5):,}')
# Probability
print(f'P(royal flush): {4/comb(52,5):.10f}')
"

Examples

• "What are the odds of rolling two sixes?" -> Calculates 1/36 with explanation
• "How many ways to arrange 5 books?" -> Computes 5! = 120 permutations
• "Apply Bayes theorem" -> Step-by-step conditional probability calculation

Guidelines

• Show the solution formula before plugging in numbers
• Distinguish between permutations and combinations clearly
• Express probabilities as both fractions and percentages