Independent & Dependent Probability 3/19

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.

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.

Front

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

Back

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

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.

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}.

Front

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

Back

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

Front

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

Back

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

Front

What is the probability of spinning red on a spinner with equal sections?

Back

P(red) = \frac{number\ of\ red\ sections}{total\ sections}.

Front

What is the probability of selecting an 'A' from a bag of scrabble tiles?

Back

P(A) = \frac{number\ of\ A\ tiles}{total\ tiles}.

Front

What is the formula for total probability in independent events?

Back

Total Probability = P(A) + P(B) - P(A and B).