What is the definition of independent events in probability?
Unit 4 Probability Mid-Unit Flashcard

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Two events A and B are independent if the occurrence of one does not affect the occurrence of the other. Mathematically, P(A and B) = P(A) * P(B).
2.
FLASHCARD QUESTION
Front
What does it mean for two events to be mutually exclusive?
Back
Two events A and B are mutually exclusive if they cannot occur at the same time. This means P(A and B) = 0.
3.
FLASHCARD QUESTION
Front
What is the formula for the probability of the union of two events?
Back
P(A or B) = P(A) + P(B) - P(A and B).
4.
FLASHCARD QUESTION
Front
If P(A) = 0.2 and P(B) = 0.3, what is P(A or B) if A and B are independent?
Back
P(A or B) = P(A) + P(B) - P(A and B) = 0.2 + 0.3 - (0.2 * 0.3) = 0.44.
5.
FLASHCARD QUESTION
Front
What is the probability of drawing an even number from a set of cards numbered 1-10?
Back
There are 5 even numbers (2, 4, 6, 8, 10) out of 10 cards, so P(even) = 5/10 = 1/2.
6.
FLASHCARD QUESTION
Front
What is the probability of drawing a number greater than or equal to 5 from a set of cards numbered 1-10?
Back
There are 6 numbers (5, 6, 7, 8, 9, 10) out of 10 cards, so P(>=5) = 6/10 = 3/5.
7.
FLASHCARD QUESTION
Front
What is the definition of mutually inclusive events?
Back
Mutually inclusive events are events that can occur at the same time. For example, drawing a card that is both red and a face card.
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