5.1 Probability Concepts

• What is probability a measure of?

  Likelihood or chance
• The probability of rolling a 6 on a standard 6-sided die is 1/6, 0.167, or 16.7%.


  True
• What is the sample space when rolling a 6-sided die?

  {1, 2, 3, 4, 5, 6}
• Match the characteristic with the type of probability:

  Observed data ↔️ Experimental probability

  Mathematical calculation ↔️ Theoretical probability
• What is the probability of getting heads on a fair coin flip?

  1/2
• The probability of rolling a 6 on a 6-sided die is 1/6, 0.167, or 16.7%.


  True
• Match the term with its example in rolling a 6-sided die:

  Sample Space ↔️ {1, 2, 3, 4, 5, 6}

  Event ↔️ {2, 4, 6}

  Outcome ↔️ 3
• Decimals enable easy comparison and arithmetic operations.
• In the example of drawing balls from a bag, the sample space is the total number of balls in the bag.
• Probability values range from 0 (impossible) to 1 (certain
• What is a probability experiment?

  Process with varied outcomes
• Experimental probability is calculated based on observed data from an experiment.


  True
• What is the formula for theoretical probability?

  Favorable outcomes / total possible outcomes
• Probability is a measure of the likelihood or chance of an event occurring.likelihood
• A probability experiment is a process that results in a variety of different outcomes.outcomes
• Experimental probability is based on observed outcomes from an experiment.outcomes
• The probability of rolling a 5 on a 6-sided die is 1/6 as a fraction.


  True
• The probability of selecting a blue ball from the bag is 37.5% as a percentage.

  True
• Match the probability expression with its meaning:

  Fraction ↔️ Ratio of favorable outcomes to total possible outcomes

  Decimal ↔️ Value between 0 and 1
• The sample space in a probability experiment is the set of all possible outcomes
• Theoretical probability is calculated using the sample space and the number of favorable outcomes
• Theoretical probability is precise if the sample space is known.


  True
• Match the expression with its meaning in probability:

  1️⃣ Fraction

  2️⃣ Ratio of favorable outcomes to total possible outcomes

  3️⃣ Decimal

  4️⃣ Value between 0 and 1

  5️⃣ Percentage

  6️⃣ Percentage of total possible outcomes
• An event in probability is a specific outcome or set of outcomes we are interested in.

  True
• The formula for experimental probability is (Favorable Outcomes / Total Trials).
• Steps to apply probability concepts to real-life scenarios:

  1️⃣ Identify the sample space

  2️⃣ Identify the event(s) of interest

  3️⃣ Express the probability