Probability Skills Test

What is theoretical probability?

• Theoretical probability is always equal to 1

• Theoretical probability is the likelihood of an event happening based on all possible outcomes.

• Theoretical probability is based on past outcomes

• Theoretical probability is the result of an experiment

How is experimental probability different from theoretical probability?

• Experimental probability is based on actual outcomes, while theoretical probability is based on mathematical calculations.

• Experimental probability is always more accurate than theoretical probability.

• Theoretical probability is derived from actual outcomes.

• Experimental probability is solely based on mathematical calculations.

If you roll a fair six-sided die, what is the theoretical probability of rolling a 3?

• 1/4

• 1/6

• 1/5

• 1/3

If you roll a fair six-sided die 100 times and get 20 threes, what is the experimental probability of rolling a 3?

• 0.2

• 0.4

• 0.3

• 0.5

Explain the concept of sample space in probability.

• Sample space is the probability of an event occurring.

• The sample space in probability refers to the set of all possible outcomes of a random experiment.

• The sample space is the result of adding all possible outcomes together.

• Sample space refers to the average of all possible outcomes.

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the theoretical probability of drawing a red marble?

• 0.5

• 0.2

• 0.75

• 0.9

If you randomly select a card from a standard deck of 52 cards, what is the theoretical probability of selecting a heart?

• 1/3

• 1/4

• 1/5

• 1/2

In an experiment, you flip a coin 50 times and get 25 heads. What is the experimental probability of getting heads?

• 0.5 or 50%

• 0.4 or 40%

• 0.6 or 60%

• 0.75 or 75%

What is the main difference between theoretical and experimental probability?

• Theoretical probability is always accurate, while experimental probability is always inaccurate.

• Theoretical probability is based on experiments, while experimental probability is based on calculations.

• Theoretical probability is based on calculations and predictions, while experimental probability is determined through actual experiments or observations.

• Theoretical probability is used in real-world scenarios, while experimental probability is only theoretical.

If you spin a spinner with 8 equal sections, what is the theoretical probability of landing on a blue section?

• 1/8

• 1/6

• 1/4

• 1/10