Law of Large Numbers

Jeffery used the spinner below to conduct an experiment. The results of his first thirty spins are shown below:

Red 9 Green 8 Yellow 6 Blue7.

If Jeffery continues to spin the spinner an additional 500 times, what will happen to the probability of spinning yellow?

• a) The experimental probability will move further away from the theoretical probability as the number of trials increases.

• b) The experimental probability will remain the same as the number of trials increases.

• c) The experimental probability will come closer to the theoretical probability as the number of trials increases.

THE LAW OF LARGE NUMBERS it states that, as a probabilistic process is repeated a large number of times, the experimental probability of its possible outcomes will get closer and closer to their respective probabilities.

• True

• False

If you toss a fair coin 10,000 and it lends on a head 4989 times, the theoretical probability and the theoretical probability become further away from each other.

• True

• False

What is the Law of Large Numbers about?

• Coins

• Probability

• Spinner

• Geometry

You want to win a 'Guess the Number of Jelly Beans in the Jar' contest. About how many guesses would you like to be allowed in order to maximize your chances of winning?

• 10

• none

• 100

• 1,000

You toss a coin 100 times, and it lands on heads every time. What is the probability it will land on tails the 101st toss?

• 1/101

• 1/100

• 1/2

• 1/5