11.2 Law of Large Numbers Practice

Front

What is the Law of Large Numbers?

Back

The Law of Large Numbers states that as the number of trials in an experiment increases, the experimental probability of an event will get closer to the theoretical probability of that event.

Front

What is experimental probability?

Back

Experimental probability is the probability of an event based on the results of an actual experiment or trial.

Front

What is theoretical probability?

Back

Theoretical probability is the probability of an event calculated based on the possible outcomes in a perfect scenario.

Front

If a spinner has 4 equal sections (Red, Green, Yellow, Blue), what is the theoretical probability of landing on Yellow?

Back

The theoretical probability of landing on Yellow is 1/4 or 25%.

Front

What happens to experimental probability as the number of trials increases?

Back

As the number of trials increases, the experimental probability tends to get closer to the theoretical probability.

Front

If a coin is flipped 100 times, what is the expected number of heads?

Back

The expected number of heads is about 50, since the theoretical probability of heads is 1/2.

Front

What is a fair coin?

Back

A fair coin is one that has an equal chance of landing on heads or tails, meaning the probability of each outcome is 1/2.

Front

In the context of probability, what does 'randomly choosing' mean?

Back

'Randomly choosing' means selecting an item in such a way that each item has an equal chance of being selected.

Front

If 30% of candies are strawberry-flavored, what is the theoretical probability of picking a strawberry candy?

Back

The theoretical probability of picking a strawberry candy is 30%.

Front

What is the significance of increasing the number of trials in an experiment?

Back

Increasing the number of trials helps to reduce the impact of random variation and provides a more accurate estimate of the probability.