1. What is Simple Random Sample Probability?

Definition: This calculator computes the probability of an event occurring in a simple random sample, where each outcome has an equal chance of being selected.

Purpose: It helps determine the likelihood of specific outcomes in random sampling scenarios, useful in statistics, research, and probability studies.

2. How Does the Calculator Work?

The calculator uses the basic probability formula:

Where:

• \( P \) — Probability (between 0 and 1)
• \( k \) — Number of favorable outcomes
• \( N \) — Total number of possible outcomes

Explanation: The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

3. Importance of Probability Calculation

Details: Understanding probability helps in making informed decisions, assessing risks, and interpreting statistical results in various fields including science, business, and social research.

4. Using the Calculator

Tips: Enter the number of favorable outcomes (must be ≥ 0) and total outcomes (must be ≥ 1). The favorable outcomes cannot exceed total outcomes.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between probability and percentage?
A: Probability is a value between 0 and 1, while percentage is probability multiplied by 100 (0% to 100%).

Q2: Can probability be greater than 1?
A: No, probability values range from 0 (impossible) to 1 (certain). Values outside this range indicate invalid inputs.

Q3: What if my favorable outcomes exceed total outcomes?
A: The calculator will not compute in this case as it's mathematically impossible (k must be ≤ N).

Q4: How is this different from conditional probability?
A: This calculates simple probability. Conditional probability considers additional constraints or prior events.

Q5: Can I use decimals for outcomes?
A: While the calculator accepts decimal inputs, outcomes are typically whole numbers in probability theory.