Law of Large Numbers

The Law of Large Numbers deals with what?

• Money

• Probability and Statistics

• Geometry

• Algebraic Equations

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If you flip a coin 40 times and get heads every time.  What is the likelihood of flipping a tails the 41st time? 

• 1/41
• 40/41
• 1/2

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True or False: The more you roll a die, the more likely you are to get a higher number.

• True.

• False.

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As the number of trials increases the experimental probability approaches the theoretical probability.

• Yes

• No

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The law of large numbers shows a relationship between the theoretical probability and the _____.

• rational probability
• experimental probability
• exponential probability
• sample size

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

Red 9, Green 8, Yellow 6, and Blue 7.

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.

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The experimental probability and theoretical probability are identical.

• Yes

• No

• Sometimes

• Always

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The ratio of landing on tails after 2,000,000 coin flips will be closer to .5 than 1,000,000 coin flips.

• Yes

• No

• Maybe

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The likelihood of an event occurring without conducting an experiment is called the

• sample space

• simulation

• theoretical data

• theoretical probability

30% of the starburst candy manufactured for sale is strawberry-flavored. Ellie found that the probability of randomly choosing a pink starburst from a package of 10 starburst was 1/5.

When she opened 30 more packages of starburst, she found that the probability of choosing a strawberry randomly was 3/10.

What term best describes this discovery?

• sample space

• subjective probability

• law of large numbers

• complement of an event

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