Probability Concepts

What is experimental probability?

• Experimental probability is the probability obtained from conducting an experiment and observing the outcomes.

• Experimental probability is the probability based on historical data.

• Experimental probability is the probability that never changes.

• Experimental probability is the probability calculated using theoretical formulas only.

How is experimental probability calculated?

• By multiplying the number of favorable outcomes by the total number of outcomes observed

• By adding the number of favorable outcomes to the total number of outcomes observed

• By subtracting the number of favorable outcomes from the total number of outcomes observed

• By dividing the number of favorable outcomes by the total number of outcomes observed in an experiment.

Define theoretical probability.

• Theoretical probability is the likelihood of an event happening based on random chance.

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

• Theoretical probability is the likelihood of an event happening based on experimental data.

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

What is the formula for theoretical probability?

• Number of favorable outcomes / Total number of possible outcomes

• Number of favorable outcomes x Total number of possible outcomes

• Number of favorable outcomes - Total number of possible outcomes

• Total number of possible outcomes / Number of favorable outcomes

What is the difference between experimental and theoretical probability?

• Experimental probability is always higher than theoretical probability.

• Theoretical probability is determined by conducting experiments.

• Experimental probability is solely based on mathematical calculations.

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

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

• 1/4

• 1/5

• 1/6

• 1/3

If you flip a fair coin, what is the theoretical probability of getting heads?

• 0.5

• 0.2

• 0.75

• 1.0

If you conduct an experiment and get 25 favorable outcomes out of 50 total outcomes, what is the experimental probability?

• 0.25

• 1.5

• 0.5

• 0.75

Explain the concept of sample space in probability.

• The sample space is the collection of all possible outcomes of a random experiment.

• The sample space is the probability of all possible outcomes in a random experiment.

• The sample space is the sum of all possible outcomes in a random experiment.

• The sample space is the average of all possible outcomes in a random experiment.

A bag contains 4 red, 3 blue, and 2 green marbles. What is the theoretical probability of drawing a blue marble?

• 1/3

• 1/4

• 3/7

• 2/9