Probability Calculator

Calculates the probability of event A AND event B occurring ($P(A \cap B)$). This is useful for sequences of events.

General Rule: $P(A \cap B) = P(A) \cdot P(B|A)$

For Independent Events: $P(A \cap B) = P(A) \cdot P(B)$

Calculates the probability of an event occurring, given that another event has already occurred.

Formula: $P(A|B) = \frac{P(A \cap B)}{P(B)}$ (where $P(B) > 0$)

And similarly, $P(B|A) = \frac{P(A \cap B)}{P(A)}$ (where $P(A) > 0$)

This solver calculates key statistics for a simple list of individual numbers. Use it to understand the central tendency (mean, median, mode) and dispersion (variance, standard deviation) of your data.

When dealing with large datasets, data is often grouped into class intervals. This solver estimates statistical measures from the grouped data and generates a histogram and an ogive to visualize the distribution.

Permutations ($nPr$): The number of ways to arrange $r$ items from a set of $n$ items where order matters.

Combinations ($nCr$): The number of ways to choose $r$ items from a set of $n$ items where order does not matter.