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.

Front

What is experimental probability?

Back

Experimental probability is the ratio of the number of times an event occurs to the total number of trials conducted.

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring based on all possible outcomes, calculated as the number of favorable outcomes divided by the total number of outcomes.

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, how many times should it land on heads theoretically?

Back

Theoretically, it should land on heads about 50 times, since there are two possible outcomes (heads or tails).

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 a probability experiment, what does it mean if the results deviate significantly from the expected outcome?

Back

Significant deviation may indicate that the sample size is too small or that the experiment is not fair.

Front

What is the probability of drawing a strawberry-flavored candy if 30% of candies are strawberry?

Back

The probability of drawing a strawberry-flavored candy is 30% or 0.3.

Front

If Ellie found a 20% chance of picking a pink starburst, what should happen if she opens more packs?

Back

If she opens more packs, the percentage of pink starbursts should approach the theoretical probability of 30%.