Independent and Dependent Events

Flashcard
•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What are independent events in probability?
Back
Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other. For example, rolling a die and flipping a coin are independent events.
2.
FLASHCARD QUESTION
Front
What are dependent events in probability?
Back
Dependent events are two or more events where the occurrence of one event affects the occurrence of the other. For example, drawing two cards from a deck without replacement is a dependent event.
3.
FLASHCARD QUESTION
Front
What is the probability of rolling an even number on a number cube?
Back
The probability of rolling an even number (2, 4, or 6) on a number cube is 3/6 or 1/2.
4.
FLASHCARD QUESTION
Front
What is the probability of rolling an odd number on a number cube?
Back
The probability of rolling an odd number (1, 3, or 5) on a number cube is 3/6 or 1/2.
5.
FLASHCARD QUESTION
Front
How do you calculate the probability of two independent events occurring?
Back
To calculate the probability of two independent events occurring, multiply their individual probabilities. For example, P(A and B) = P(A) * P(B).
6.
FLASHCARD QUESTION
Front
What is the sample space in probability?
Back
The sample space is the set of all possible outcomes of a probability experiment. For example, when tossing two coins, the sample space is {HH, HT, TH, TT}.
7.
FLASHCARD QUESTION
Front
What is the probability of getting at most one head when tossing two coins?
Back
The probability of getting at most one head when tossing two coins is 3/4.
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