Probability Models (Grade 7)

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Probability Models

1. 
The main difference between experimental and theoretical probability is:
  1. Experimental probability is more accurate, while theoretical probability in not reliable
  2. Theoretical probability is more accurate, while experimental is more uncontrolled
  3. Theoretical probability is what should happen, experimental is what does happen
  4. Experimental probability is more dangerous because you have to undergo unsafe conditions
2. 
Experimental probability is a statement in the form of a fraction describing                     according to probability trial.
  1. what does happen
  2. what could happen
  3. what doesn't happen
  4. what should happen
3. 
Theoretical probability is a statement in the form of a fraction describing                     in a probability trial.
  1. what could happen
  2. what doesn't happen
  3. what does happen
  4. what should happen
4. 
The Law of Large Numbers states:
  1. Large numbers are more likely to be theoretical probable when relative frequency is considered
  2. Relative frequency approaches theoretical probability as the number of trials increases
  3. When you take two large numbers into consideration, experimental probability is doubled
  4. Experimental probability is no more than a theoretical concept of large number systems
5. 
Jackson rolled a dice 20 times in a row. He found that the experimental probability of him rolling a six on his next roll is a decimal value of 0.25. The theoretical probability of rolling a six on his next roll is a decimal value of about 0.17. If Jackson rolls the dice another 50 times, what is the most logical answer according to the law of large numbers for what his experimental probability should now be?
  1. 0.86
  2. 0.52
  3. 0.19
  4. 0.11
6. 
A coin is flipped 5 times. It landed heads up 4 of those times, making the experimental probability of the coin landing heads up on the next flip [math]4/5[/math]. If the coin is flipped another 50 times, which of the fractions below is most likely to be the updated experimental probability of the coin landing heads up on the next flip?
  1. [math]5/9[/math]
  2. [math]5/6[/math]
  3. [math]6/8[/math]
  4. [math]8/9[/math]
7. 
The spinner below was spun 60 times in an experiment. The spinner landed on blue 30 of those times, and on red 15 of those times. The theoretical probability of the spinner landing on green the next time is [math]1/3[/math]. What is the experimental probability of the spinner landing on green the next time it is spun?
Spinner With Colors
  1. [math]1/2[/math]
  2. [math]1/4[/math]
  3. [math]3/4[/math]
  4. [math]1/3[/math]
8. 
A six-sided number cube is rolled 10 times. The theoretical probability of rolling a two is [math]1/6[/math], but in the experiment a two was rolled 4 out of the 10 times, making the experimental probability [math]2/5[/math]. If the dice is rolled again and again, will the experimental probability:
  1. Slowly decrease towards zero
  2. Slowly increase towards one
  3. Approach the theoretical probability
  4. Stay constant and never change
9. 
The theoretical probability of tossing a coin and having it land heads up is [math]1/2[/math]. If a coin is tossed 15 times, and it only lands heads up 3 of the 15 times, what is the experimental probability of the coin landing tails up on the next toss?
  1. [math]3/5[/math]
  2. [math]1/15[/math]
  3. [math]1/2[/math]
  4. [math]1/5[/math]
10. 
The spinner below was spun 30 times in an experiment. The spinner landed on red 12 of those times, making the experimental probability of the spinner landing on red the next time [math]2/5[/math]. What is the theoretical probability of the spinner landing on red the next time it is spun?
Spinner With Colors - Uneven
  1. [math]1/4[/math]
  2. [math]1/2[/math]
  3. [math]1/3[/math]
  4. [math]3/4[/math]

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