What are independent events in probability?
Independent & Dependent Events

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Mathematics
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7th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Independent events are events where the outcome of one event does not affect the outcome of another. For example, flipping a coin and rolling a die are independent events.
2.
FLASHCARD QUESTION
Front
What are dependent events in probability?
Back
Dependent events are events where the outcome of one event affects the outcome of another. For example, drawing two cards from a deck without replacement is a dependent event.
3.
FLASHCARD QUESTION
Front
How do you calculate the probability of independent events occurring together?
Back
To find the probability of two independent events A and B occurring together, multiply their individual probabilities: P(A and B) = P(A) * P(B).
4.
FLASHCARD QUESTION
Front
How do you calculate the probability of dependent events occurring together?
Back
To find the probability of two dependent events A and B occurring together, multiply the probability of the first event by the conditional probability of the second event: P(A and B) = P(A) * P(B|A).
5.
FLASHCARD QUESTION
Front
What is the probability of drawing a red marble from a bag containing 6 red and 5 green marbles?
Back
The probability of drawing a red marble is P(Red) = Number of Red Marbles / Total Marbles = 6 / (6 + 5) = 6/11.
6.
FLASHCARD QUESTION
Front
If Joe picks 2 marbles one after the other without replacement, what is the probability that both are red?
Back
The probability is P(Red1) * P(Red2|Red1) = (6/15) * (5/14) = 30/210 = 1/7.
7.
FLASHCARD QUESTION
Front
What is the probability of rolling an even number on a die?
Back
The probability of rolling an even number (2, 4, or 6) is P(Even) = 3/6 = 1/2.
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