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

How do you calculate the theoretical probability of landing on a specific color in a spinner?

Back

The theoretical probability is calculated by dividing the number of sections of that color by the total number of sections on the spinner.

Front

If a spinner has 4 equal sections (red, blue, green, yellow), what is the theoretical probability of landing on yellow?

Back

1/4 or 25%.

Front

What is the relationship between experimental and theoretical probability?

Back

Experimental probability can vary from theoretical probability due to randomness and the number of trials; as the number of trials increases, experimental probability tends to get closer to theoretical probability.

Front

In a class of 21 students, if 7 do not own a gaming system, what is the ratio of students who do not own a gaming system?

Back

The ratio is 7 out of 21, which simplifies to 1 out of 3.

Front

If a spinner is spun 30 times and lands on blue 12 times, what is the experimental probability of landing on blue?

Back

The experimental probability of landing on blue is 12/30, which simplifies to 2/5 or 40%.

Front

What is the formula for calculating experimental probability?

Back

P(Event) = Number of times the event occurs / Total number of trials.

Front

If a spinner is spun 50 times and lands on a number 11 fifteen times, what is the experimental probability of landing on 11?

Back

The experimental probability of landing on 11 is 15/50, which simplifies to 3/10 or 30%.

Front

What is the theoretical probability of rolling a 3 on a standard number cube?

Back

The theoretical probability is 1/6 or approximately 16.67%.