Understanding Probability

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Questions and Answers

A jar contains 3 red marbles and 5 blue marbles. If you randomly select one marble, what is the probability of selecting a red marble?

  • 1/2
  • 5/8
  • 3/5
  • 3/8 (correct)

What constitutes the sample space when rolling a standard six-sided die and flipping a coin?

  • {1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T} (correct)
  • {H, T}
  • {1, 2, 3, 4, 5, 6, H, T}
  • {1H, 2T, 3H, 4T, 5H, 6T}

In probability, what is the definition of an 'event'?

  • The likelihood of a single outcome occurring.
  • The set of all possible outcomes.
  • A single possible result of an experiment.
  • A collection of one or more outcomes from a sample space. (correct)

A bag contains 4 green balls, 5 red balls, and 6 yellow balls. What is the probability of NOT picking a red ball?

<p>10/15 (D)</p> Signup and view all the answers

If two fair coins are flipped, what is the probability of getting at least one head?

<p>3/4 (C)</p> Signup and view all the answers

What does the term 'outcome' represent in the context of probability?

<p>A possible result of an experiment. (A)</p> Signup and view all the answers

A spinner is divided into 5 equal sections, numbered 1 to 5. If you spin the spinner once, what is the probability of landing on an odd number?

<p>3/5 (C)</p> Signup and view all the answers

What is the sample space when choosing a letter from the word 'EXAMPLE'?

<p>{E, X, A, M, P, L} (C)</p> Signup and view all the answers

If the probability of an event occurring is 0.3, what is the probability of the event not occurring?

<p>0.7 (A)</p> Signup and view all the answers

A deck of cards has 52 cards. You draw one card from the deck. What is the probability of selecting a heart?

<p>1/4 (D)</p> Signup and view all the answers

Flashcards

What is probability?

The likelihood or chance of something happening; used to predict outcomes and make decisions.

Outcome

A possible result of an experiment or situation.

Event

A collection of outcomes.

Probability of Events

The likelihood of an event occuring.

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Sample Space

The set of all possible outcomes of an experiment.

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Study Notes

  • Probability is the chance of something happening.
  • Probability is for predicting outcomes and making decisions.

Key Terms

  • Outcome means a possible result of an experiment or situation.
  • Event is a collection of outcomes.
  • Probability is the likelihood of an event occurring, expressed as a fraction, decimal, or percentage.
  • Sample space is the set of all possible outcomes of an experiment

Outcomes

  • When rolling a six-sided die, possible outcomes are the numbers 1 through 6.
  • Outcomes are: {1, 2, 3, 4, 5, 6}.

Events

  • Event is defined as rolling an even number.
  • Outcomes that satisfy this event are 2, 4, and 6.

Probability of Events

  • Likelihood of an event occurring is expressed as a fraction, decimal, or percentage.

Probability of Winning

  • The probability of winning on a spinner is 4/8 (as a fraction), 0.50 (as a decimal), or 50% (as a percentage).

Sample Space

  • When flipping a coin, the sample space is {Heads, Tails}.

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