G8 4th grading exam reviewer

In a probability experiment, what does an "outcome" specifically refer to?

• An outcome is the total number of trials in an experiment.
• An outcome is a collection of all possible results of an experiment.
• An outcome is a specific result of a probability experiment.
• An outcome is the probability of an event occurring.

What is the experiment in tossing a coin?

• Tossing the coin

• The surface it lands on
• The weight of the coin
• The outcome of the toss

Which of the following best illustrates an event when tossing a coin?

• The coin's color
• The surface it lands on
• The number of times it is tossed
• B. Getting “heads”

Which of the following is an outcome of rolling a standard die?

• Getting a 4

• All numbers from 1 to 6

• Rolling the die

• The die itself

When rolling a six-sided die, which of the following correctly identifies the experiment, sample space, and outcome?

• Experiment: Rolling the die; Sample space: {1, 2, 3, 4, 5, 6};

  Outcome: Any one of the six numbers

• Experiment: Observing numbers;

  Sample space: {1, 2, 3}; Outcome: 4, 5, 6

• Experiment: Counting numbers;

  Sample space: {Rolling, Tossing}; Outcome: Die

• Experiment: Die manufacturing; Sample space: All dice; Outcome: Six-sided

How is an "outcome" different from an "event" in the context of probability?

• They are interchangeable terms with no distinct difference.

• An event always includes the whole sample space, while an outcome is a summary.

• An outcome is the observed result from one trial, whereas an event can consist of one or more outcomes.

• An outcome is the entire experiment, while an event is any subset of outcomes.

Given the sample space for flipping two coins as {HH, HT, TH, TT}, which of the following statements is accurate?

• Each element in the list is an event, while none are outcomes

• The list represents all possible outcomes, and events can be formed by grouping some of these outcomes

• The sample space should contain more than four outcomes

• Only HH and TT are valid outcomes, with HT and TH being errors

What does "theoretical probability" represent?

• The total number of trials in an experiment

• The ratio of favorable outcomes to all possible outcomes

• An estimate based on guesses

• The number of times an event actually happened

What is the main difference between theoretical and experimental probability?

• Theoretical probability uses results from an experiment

• Experimental probability always gives a perfect prediction

• Theoretical probability is based on logic; experimental probability is based on actual results

• Experimental probability is always higher than theoretical

What is the theoretical probability of rolling an even number on a six-sided die?

• 1/2
• 5/6
• 2/3
• C. 4/6