Theoretical probability VS Experimental Probability

Front

What is theoretical probability?

Back

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

Front

What is experimental probability?

Back

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

Front

If a die has 6 faces, what is the theoretical probability of rolling a 1?

Back

1/6, since there is 1 favorable outcome (rolling a 1) out of 6 possible outcomes.

Front

If a die is rolled 10 times and a 1 is rolled 3 times, what is the experimental probability of rolling a 1?

Back

3/10, since the event (rolling a 1) occurred 3 times out of 10 trials.

Front

What is the theoretical probability of flipping a coin and landing on heads?

Back

1/2, since there are 2 possible outcomes (heads or tails) and 1 favorable outcome (heads).

Front

If a spinner has 5 equal sections and 2 are red, what is the theoretical probability of landing on red?

Back

2/5, since there are 2 favorable outcomes (red sections) out of 5 total sections.

Front

What is the formula for calculating probability?

Back

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

Front

If a coin is flipped 100 times, how many times can we expect to land on tails?

Back

Approximately 50 times, since the theoretical probability of tails is 1/2.

Front

What is the experimental probability of rolling a 6 on a die if it was rolled 12 times and a 6 was rolled 4 times?

Back

4/12 or 1/3, since the event occurred 4 times out of 12 trials.

Front

If a die is rolled 20 times and the results are: 1, 2, 2, 3, 4, 5, 6, 1, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, what is the experimental probability of rolling a 1?

Back

5/20 or 1/4, since the event occurred 5 times out of 20 trials.