Independent & Dependent Probability 3/19

Independent & Dependent Probability 3/19

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of independent events in probability?

Back

Two events are independent if the occurrence of one does not affect the occurrence of the other.

2.

FLASHCARD QUESTION

Front

What is the definition of dependent events in probability?

Back

Two events are dependent if the occurrence of one event affects the probability of the other event occurring.

3.

FLASHCARD QUESTION

Front

Calculate P(A and B) for independent events A and B.

Back

P(A and B) = P(A) * P(B) for independent events.

4.

FLASHCARD QUESTION

Front

Calculate P(A and B) for dependent events A and B.

Back

P(A and B) = P(A) * P(B|A) where P(B|A) is the probability of B given A.

5.

FLASHCARD QUESTION

Front

What is the probability of drawing a red marble from a bag containing 3 red, 4 gray, 6 white, and 5 black marbles?

Back

P(red) = \frac{3}{18} = \frac{1}{6}.

6.

FLASHCARD QUESTION

Front

What is the probability of drawing a gray marble after replacing a red marble?

Back

P(gray) = \frac{4}{18} = \frac{2}{9}.

7.

FLASHCARD QUESTION

Front

If a bag contains 10 striped marbles, what is the probability of drawing a striped marble?

Back

P(striped) = \frac{10}{total marbles}.

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