Theoretical Vs. Experimental Probability

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring 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 occurring 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 number cube is rolled, what is the theoretical probability of rolling a number less than 4?

Back

The theoretical probability is 3/6 or 1/2, since the favorable outcomes are 1, 2, and 3.

Front

How do you calculate expected outcomes in probability?

Back

Expected outcomes can be calculated by multiplying the probability of an event by the total number of trials.

Front

What is the expected number of times a number less than 4 will be rolled if a die is rolled 300 times?

Back

150 times, since P(rolling < 4) = 1/2 and 300 * 1/2 = 150.

Front

What is the probability of rolling greater than a 1 on a single die?

Back

The probability is 5/6, as the favorable outcomes are 2, 3, 4, 5, and 6.

Front

If a coin is flipped 150 times, how many times can we expect it to land on heads?

Back

75 times, since the probability of heads is 1/2 and 150 * 1/2 = 75.

Front

What is the probability of winning a game if the odds are 1:12?

Back

The probability of winning is 1/13, since there are 1 favorable outcome and 12 unfavorable outcomes.

Front

If Jada plays a game with a winning probability of 1:12 for 60 times, how many times can she expect to win?

Back

5 times, since 60 * (1/13) = 60/13 ≈ 5.

Front

What is an outcome in probability?

Back

An outcome is a possible result of a probability experiment.