Conditional Probability

Conditional Probability

Assessment

Flashcard

Mathematics

12th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is Conditional Probability?

Back

The probability of an event occurring given that another event has already occurred. It is denoted as P(A|B), which reads 'the probability of A given B'.

2.

FLASHCARD QUESTION

Front

What is the formula for Conditional Probability?

Back

P(A|B) = P(A ∩ B) / P(B), where P(A ∩ B) is the probability of both A and B occurring.

3.

FLASHCARD QUESTION

Front

What does P(A|B) represent?

Back

It represents the probability of event A occurring given that event B has occurred.

4.

FLASHCARD QUESTION

Front

If P(A) = 0.5 and P(B) = 0.4, what is P(A|B) if P(A ∩ B) = 0.2?

Back

P(A|B) = P(A ∩ B) / P(B) = 0.2 / 0.4 = 0.5.

5.

FLASHCARD QUESTION

Front

What is the relationship between independent events and Conditional Probability?

Back

For independent events, P(A|B) = P(A). The occurrence of B does not affect the probability of A.

6.

FLASHCARD QUESTION

Front

How do you interpret P(B|A)?

Back

It is the probability of event B occurring given that event A has occurred.

7.

FLASHCARD QUESTION

Front

What is the Law of Total Probability?

Back

It states that if B1, B2, ..., Bn are mutually exclusive events that cover the entire sample space, then P(A) = Σ P(A|Bi)P(Bi).

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