Understanding Basic Probability Concepts
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Questions and Answers

What is the probability of a fair coin landing on heads?

  • 1/4
  • 3/4
  • 1
  • 1/2 (correct)

What is the probability of rolling a 6 on a fair six-sided dice?

  • 1/3
  • 1/6 (correct)
  • 1/4
  • 1/5

What is the total sum of all probabilities for a single trial?

  • 1 (correct)
  • 0.75
  • 0.5
  • 0.9

How can probabilities be expressed?

<p>As fractions, decimals, or percentages (B)</p> Signup and view all the answers

What is the probability of pulling out a white marble from a bag containing 11 marbles?

<p>1/11 (C)</p> Signup and view all the answers

What is the purpose of conducting multiple trials or experiments?

<p>To approach the expected probabilities more accurately (A)</p> Signup and view all the answers

What is the relationship between the numerator and denominator when calculating probabilities?

<p>The numerator is the number of favorable outcomes, and the denominator is the total possible outcomes. (B)</p> Signup and view all the answers

What is the range of valid probability values?

<p>0 to 1 (B)</p> Signup and view all the answers

Study Notes

  • Probability is the likelihood of an event happening, ranging from 0 (impossible) to 1 (certain).
  • In real-world scenarios like coin tosses and dice rolls, probabilities help understand the chances of different outcomes.
  • A fair coin toss has a probability of 1/2 for heads and 1/2 for tails, as both outcomes are equally likely.
  • Dice rolls involve more possibilities, with each number having a probability of 1/6 or approximately 16.7%.
  • Conducting multiple trials helps in approaching the expected probabilities more accurately.
  • The sum of probabilities for all possible outcomes in a trial always equals 1 or 100%.
  • Calculating probabilities involves creating a fraction with the number of favorable outcomes as the numerator and the total possible outcomes as the denominator.
  • Probabilities can be expressed as fractions, decimals, or percentages, offering different ways to interpret likelihoods.- Probability of pulling out a white marble is 1/11 or 0.09 or 9% which is considered not very likely.
  • When adding up all probabilities, the total sum is 11/11 or 100%, as expected.
  • Basic probability involves creating a fraction with the desired outcomes as the numerator and the total possibilities as the denominator.
  • Probability values must fall between 0 and 1 (or 100%).
  • Conducting more trials or experiments leads to results closer to the expected probabilities.

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Description

Learn about the fundamentals of probability, including the likelihood of events and calculating probabilities for different scenarios like coin tosses, dice rolls, and drawing marbles.

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