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 possible 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

What is the theoretical probability of rolling an 8 on a fair number cube?

Back

0 (since a standard number cube has numbers 1-6, and 8 is not an option).

Front

If 14% of Americans are fluent in at least two languages, what is the probability that a random American is not fluent in a second language?

Back

86% (100% - 14% = 86%).

Front

What is the theoretical probability of picking an even number from a cup containing numbers 1-20?

Back

1/2 (There are 10 even numbers out of 20 total numbers).

Front

How do you calculate the probability of selecting a brown M&M from a bowl containing 4 yellow, 6 orange, 3 green, 5 blue, and 2 brown M&Ms?

Back

1/10 (There are 2 brown M&Ms out of a total of 20 M&Ms).

Front

What is the formula for calculating probability?

Back

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

Front

What does it mean if an event has a probability of 1?

Back

It means the event is certain to happen.

Front

What does it mean if an event has a probability of 0?

Back

It means the event is impossible and cannot happen.

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 outcomes from experiments.