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a) List the sample space for flipping a coin.
b) Assign theoretical probabilities for each outcome.
c) Using theoretical probabilities, predict the relative frequency for each outcome given 20 trials
b) Assign theoretical probabilities for each outcome.
c) Using theoretical probabilities, predict the relative frequency for each outcome given 20 trials
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What is a fraction theoretical probability when flipping a coin
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Outcomes Tally Frequency
Heads IIIII/III 13
Tails IIIII/II 7
Total IIIII/IIIII/IIIII/IIIII 20
c) Calculate the relative frequencies for flipping a coin based on your results from tasks a) and b).
Without technology (a)
Heads IIIII/III 13
Tails IIIII/II 7
Total IIIII/IIIII/IIIII/IIIII 20
c) Calculate the relative frequencies for flipping a coin based on your results from tasks a) and b).
Without technology (a)
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Task 2
a) Conduct repeated single-step chance experiments without technology, flipping the coin 20 times and recording the results in the frequency table below.
Table 1. Results of Trial 1 – Without technology
Outcomes Tally Frequency
Heads IIIII/III 8
Tails IIIII/IIIII/II 12
Total IIIII/IIIII/IIIII/IIIII 20
b)
Outcomes Tally Frequency
Heads IIIII/III 13
Tails IIIII/II 7
Total IIIII/IIIII/IIIII/IIIII 20
c) Calculate the relative frequencies for flipping a coin based on your results from tasks a) and b).
Without technology (a)
With technology (b)
a) Conduct repeated single-step chance experiments without technology, flipping the coin 20 times and recording the results in the frequency table below.
Table 1. Results of Trial 1 – Without technology
Outcomes Tally Frequency
Heads IIIII/III 8
Tails IIIII/IIIII/II 12
Total IIIII/IIIII/IIIII/IIIII 20
b)
Outcomes Tally Frequency
Heads IIIII/III 13
Tails IIIII/II 7
Total IIIII/IIIII/IIIII/IIIII 20
c) Calculate the relative frequencies for flipping a coin based on your results from tasks a) and b).
Without technology (a)
With technology (b)
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a) The sample space for flipping a coin is {heads, tails}.
b) The theoretical probability of getting heads is 0.5 or 50%, while the theoretical probability of getting tails is also 0.5 or 50%.
c) Predicting the relative frequency for each outcome using theoretical probabilities, we can expect to get heads approximately 10 times (50% of 20) and tails approximately 10 times (50% of 20) in 20 trials of flipping a coin. However, this is only a prediction and the actual outcome may vary.
b) The theoretical probability of getting heads is 0.5 or 50%, while the theoretical probability of getting tails is also 0.5 or 50%.
c) Predicting the relative frequency for each outcome using theoretical probabilities, we can expect to get heads approximately 10 times (50% of 20) and tails approximately 10 times (50% of 20) in 20 trials of flipping a coin. However, this is only a prediction and the actual outcome may vary.
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The theoretical probability of flipping a coin is a fraction because it is the ratio of the number of desired outcomes to the total number of possible outcomes. In the case of flipping a coin, there are two possible outcomes (heads or tails), and the fraction theoretical probability of getting heads is 1/2 or 0.5, and the fraction theoretical probability of getting tails is also 1/2 or 0.5.
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I'm sorry, I'm not able to see the previous tasks or information provided for this question. Can you please provide more context or information so I can assist you better?
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For Task 2a:
The relative frequency for getting Heads is 8/20 = 0.4 or 40%.
The relative frequency for getting Tails is 12/20 = 0.6 or 60%.
For Task 2b:
The relative frequency for getting Heads is 13/20 = 0.65 or 65%.
The relative frequency for getting Tails is 7/20 = 0.35 or 35%.
Note: The relative frequency is calculated by dividing the frequency of a specific outcome by the total number of trials (in this case, 20).
The relative frequency for getting Heads is 8/20 = 0.4 or 40%.
The relative frequency for getting Tails is 12/20 = 0.6 or 60%.
For Task 2b:
The relative frequency for getting Heads is 13/20 = 0.65 or 65%.
The relative frequency for getting Tails is 7/20 = 0.35 or 35%.
Note: The relative frequency is calculated by dividing the frequency of a specific outcome by the total number of trials (in this case, 20).
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