Podcast
Questions and Answers
The probability of tossing a fair coin and it landing on tails is ______.
The probability of tossing a fair coin and it landing on tails is ______.
½
The probability of the sun shining in South Carolina this summer is a certainty.
The probability of the sun shining in South Carolina this summer is a certainty.
False (B)
What is the probability of drawing a rectangle from a deck of 46 cards?
What is the probability of drawing a rectangle from a deck of 46 cards?
What is the probability of drawing a card that is not a star from the deck of 46 cards?
What is the probability of drawing a card that is not a star from the deck of 46 cards?
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Match the following probabilities with the correct events in the context of drawing a marble from a bag containing 4 blue, 3 red, 2 yellow, and 5 green marbles:
Match the following probabilities with the correct events in the context of drawing a marble from a bag containing 4 blue, 3 red, 2 yellow, and 5 green marbles:
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What is the probability of event A and its complement A'?
What is the probability of event A and its complement A'?
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A probability of 0 indicates that an event is certain to happen.
A probability of 0 indicates that an event is certain to happen.
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What does P(A | B) represent?
What does P(A | B) represent?
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If the probability of rolling a 4 on a six-sided die is P(A) = 1/6, then the probability of rolling any number other than 4 is P(A') = ____.
If the probability of rolling a 4 on a six-sided die is P(A) = 1/6, then the probability of rolling any number other than 4 is P(A') = ____.
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Match the event with its complement:
Match the event with its complement:
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Flashcards
Probability
Probability
The likelihood of an event happening. It is expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain.
Experimental Probability
Experimental Probability
The probability of an event occurring based on the results of an experiment or observations.
Theoretical Probability
Theoretical Probability
The probability of an event occurring based on theoretical calculations and assumptions about fairness.
Total Probability
Total Probability
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Probability of an Event
Probability of an Event
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Conditional Probability
Conditional Probability
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Complement of an Event
Complement of an Event
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Complementary Probability
Complementary Probability
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Probability of Event and Complement
Probability of Event and Complement
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Study Notes
Probability Concepts
- Probability measures the likelihood of an event occurring. It's expressed as a fraction, decimal, or percentage, ranging from 0 (impossible) to 1 (certain).
Determining Probability
- Impossible: An event that cannot occur (probability = 0).
- Unlikely: An event that is not expected to occur frequently (probability < 0.5 ).
- Even: An event that is equally likely to occur or not occur (probability = 0.5).
- Likely: An event that is expected to occur frequently (probability > 0.5).
- Certain: An event that is guaranteed to occur (probability = 1).
Calculating Probability (from examples)
- Tossing a fair coin, landing on tails: Probability = 1/2
- The sun shining in South Carolina this summer: Probability is variable (dependent on weather).
- Living to 500 years old: Probability extremely low/ practically impossible.
Probability of Events with Cards:
- A 46-card deck is unspecified (needs details for specific calculations).
- P(rectangle): Requires the number of rectangles in the shown deck.
- P(not a star): Requires the number of non-stars to calculate (likewise for stars).
Probability of Events with Marbles:
- Ilana picks from a bag with 4 Blue, 3 Red, 2 Yellow, and 5 Green marbles.
- Probability of picking a marble that is NOT red = (4 + 2 + 5) / (4 + 3 + 2 + 5) = 11/14
Probability in a Card Game(Bridge):
- Kevin has 5 spades, 3 hearts, 4 diamonds, and 1 club (total of 13 cards)
- Probability examples for these cards are not provided
Probabilities of a Spinner
- 8-section spinner numbered 1-8.
- Probability of spinning an 8 = 1/8
Overall Probability Calculations
- The sum of probabilities for all possible outcomes in an event is always 1.
- This is true for the spinner's 1-8 options (sum of probabilities = 1).
- Probability of spinning a specific number (e.g., number 2) needs spinner sections for calculation.
Experimental vs Theoretical Probability:
- Experimental probability is determined by observing an event happen in the real world (like spinning a spinner or rolling a die)
- Theoretical probability is worked out based on a set of possibilities and is derived from mathematical reasoning (like in calculating the probabilities of rolling a dice or cards).
Rolling a Number Cube:
- Experimental probability of rolling an even number (needs data like frequency of each roll).
- Theoretical probability of rolling an even number (1/2).
- Experimental probability of rolling a 2 (needs data from the experiment).
- Theoretical probability of rolling a 2 (1/6)
Using a Paper Clip as an Arrow:
- Experimental and theoretical probabilities are needed for finding probabilities of events like "spinning a number greater than 1" and "spinning a 1 or a 2." Incomplete data in the provided text for calculations.
Overall Probabilities
- Total probability for a set of outcomes (total probability of spinning either 1, 2, 3, or 4 on the spinner) is calculated by adding the probabilities of those individual outcomes and should equal 1.
Likelihood to spin an 8 on a spinner
- How likely it is to spin an 8 on this 8-section spinner (needs spinner details; probability is 1/8).
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Description
Explore the fundamentals of probability through this quiz. Learn how to determine and calculate the likelihood of various events, from tossing a coin to the probability of living for 500 years. Test your understanding of probability terminology and concepts.
