Question 1

What is probability?

Accepted Answer

Probability measures the likelihood of an event occurring, expressed as a number between 0 (impossible) and 1 (certain), or as a percentage. P(event) = favorable outcomes / total possible outcomes.

Question 2

What is the difference between permutations and combinations?

Accepted Answer

Permutations (nPr) count arrangements where order matters (ABC differs from BAC). Combinations (nCr) count selections where order does not matter (ABC = BAC). Permutations are always greater than or equal to combinations.

Question 3

What is conditional probability?

Accepted Answer

Conditional probability is the likelihood of an event given that another event has occurred: P(A|B) = P(A and B) / P(B). Example: the probability of rain given cloudy skies is higher than the general probability of rain.

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