🎲 Binomial Probability Calculator
Result will appear here…
📌 Understanding Binomial Probability
Binomial probability calculates the likelihood of a certain number of successes in a given number of trials. The formula is:
- P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
- Where C(n, k) is the number of combinations, p is the probability of success, and n is the total trials.
📌 Example Calculations
| n | k | p | P(X = k) |
|---|---|---|---|
| 5 | 2 | 0.5 | 0.3125 |
| 10 | 3 | 0.6 | 0.085 |
| 8 | 4 | 0.7 | 0.231 |
🔧 Practical Applications of Binomial Probability
1. Quality Control: Used to determine defect rates in manufacturing.
2. Medicine & Biology: Helps in drug trial success probability calculations.
3. Business & Marketing: Predicts customer responses and market trends.
❓ FAQs
Q1: How do I calculate binomial probability?
✅ Use the formula P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
Q2: What is the difference between binomial and normal probability?
✅ Binomial probability deals with discrete trials, while normal probability deals with continuous variables.
Q3: Can probability exceed 1?
✅ No, probability values always range between 0 and 1.