Podcast
Questions and Answers
What is the probability of an event that is impossible?
What is the probability of an event that is impossible?
- 1/2
- ∞
- 1
- 0 (correct)
If P(A)=0.3 what is P(not A)?
If P(A)=0.3 what is P(not A)?
- 0.4
- 0.5
- 0.7 (correct)
- 1.0
A fair six-sided die is rolled. What is the probability that the number is odd?
A fair six-sided die is rolled. What is the probability that the number is odd?
- 3/4
- 1/3
- 1/2 (correct)
- 2/3
What is probability of a sure event?
What is probability of a sure event?
A coin is flipped. What is the probability that flip result in heads?
A coin is flipped. What is the probability that flip result in heads?
Flashcards
Probability of an impossible event
Probability of an impossible event
The probability of an event that cannot happen is zero.
Probability of the complement
Probability of the complement
If the probability of event A is known, the probability of not A is 1 minus the probability of A.
Probability of an odd number rolled
Probability of an odd number rolled
For a fair six-sided die, there are three odd numbers (1, 3, 5). The probability is the number of favorable outcomes divided by the total possible outcomes (3/6).
Probability of a sure event
Probability of a sure event
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Probability of flipping heads
Probability of flipping heads
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Study Notes
Probability Basics
- The probability of an impossible event is 0.
Union of Events
- The maximum possible value of P(A ∪ B) is 0.7, given P(A) = 0.4 and P(B) = 0.3.
Probability of a Single Event
- The probability of rolling an odd number on a fair six-sided die is 1/2 or 0.5.
Independent Events
- If two events A and B are independent, P(A ∩ B) = P(A) × P(B).
- Given P(A) = 0.2 and P(B) = 0.5, P(A ∩ B) = 0.2 × 0.5 = 0.1.
Probability of Multiple Events
- The probability of both flips resulting in heads when a coin is flipped twice is (1/2) × (1/2) = 1/4 or 0.25.
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Description
Test your understanding of probability concepts with these questions on impossible events, union and intersection of events, independence, and coin flipping.