Law of Large Numbers

Front

What is the Law of Large Numbers?

Back

The Law of Large Numbers states that as a probabilistic process is repeated a large number of times, the experimental probability of its possible outcomes will get closer to their respective theoretical probabilities.

Front

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

Back

As the number of trials increases, the experimental probability will come closer to the theoretical probability.

Front

If you toss a fair coin 10,000 times and it lands on heads 4,989 times, is the theoretical probability and experimental probability getting further away from each other?

Back

False. They will get closer as the number of trials increases.

Front

What is the theoretical probability of getting heads when tossing a fair coin?

Back

The theoretical probability of getting heads is 0.5 or 50%.

Tags

CCSS.7.SP.C.7A

Front

What is the experimental probability of an event?

Back

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

Front

If a spinner is spun 30 times and lands on yellow 6 times, what is the experimental probability of landing on yellow?

Back

The experimental probability of landing on yellow is 6/30 or 0.2 (20%).

Tags

CCSS.7.SP.C.6

Front

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

Back

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

Tags

CCSS.7.SP.C.7A

Front

In a 'Guess the Number of Jelly Beans in the Jar' contest, how many guesses maximize your chances of winning?

Back

1,000 guesses maximize your chances of winning.

Front

What is the difference between theoretical probability and experimental probability?

Back

Theoretical probability is based on expected outcomes, while experimental probability is based on actual results from trials.

Front

If a coin is flipped 1,000 times, what can we expect the number of heads to be?

Back

We can expect about 500 heads, based on theoretical probability.

Tags

CCSS.7.SP.C.6