Theoretical and Experimental Probability

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event happening based on all possible outcomes, calculated using the formula: P(Event) = Number of favorable outcomes / Total number of outcomes.

Front

What is experimental probability?

Back

Experimental probability is the likelihood of an event happening based on actual experiments or trials, calculated using the formula: P(Event) = Number of times the event occurs / Total number of trials.

Front

If a bag contains 15 white marbles and 12 blue marbles, what is the probability of selecting a blue marble?

Back

P(Blue) = Number of blue marbles / Total number of marbles = 12 / (15 + 12) = 12 / 27 = 4/9.

Front

In a city survey, if 86 out of 100 people voted, what is the probability that a randomly selected person voted?

Back

P(Voted) = Number of people who voted / Total number of people surveyed = 86 / 100 = 0.86.

Front

What should Samantha think after flipping a coin 3 times and getting heads each time?

Back

As she keeps increasing her trials, the coins should get closer to 40 heads and 40 tails.

Front

What is the probability of flipping a head on a fair coin?

Back

P(Head) = Number of heads / Total outcomes = 1 / 2.

Front

If Mike made 63 out of 84 free throw attempts, what is the probability his next attempt will go in?

Back

P(Success) = Number of successful attempts / Total attempts = 63 / 84 = 0.75.

Front

What is the difference between theoretical and experimental probability?

Back

Theoretical probability is based on expected outcomes, while experimental probability is based on actual results from trials.

Front

How do you calculate the probability of an event?

Back

P(Event) = Number of favorable outcomes / Total number of outcomes.

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.