Conditional probability describes the probability of an event occurring given what?

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Multiple Choice

Conditional probability describes the probability of an event occurring given what?

Explanation:
Conditional probability is about calculating the probability of an event when you already know that another event has occurred. It tightens the sample space to the outcomes where that condition is true, so the chance of the event can go up or down based on the new information. The formal idea is P(A|B) = P(A and B) / P(B), provided P(B) > 0, which shows how the occurrence of B changes the likelihood of A. If A and B are independent, knowing B doesn’t change A’s probability, but in general B can alter it.

Conditional probability is about calculating the probability of an event when you already know that another event has occurred. It tightens the sample space to the outcomes where that condition is true, so the chance of the event can go up or down based on the new information. The formal idea is P(A|B) = P(A and B) / P(B), provided P(B) > 0, which shows how the occurrence of B changes the likelihood of A. If A and B are independent, knowing B doesn’t change A’s probability, but in general B can alter it.

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