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PROBABILITY LAB
Part I:
Toss a coin 50 times. Record the results in the table.
Calculate the fraction of tosses that were heads.
Calculate the fraction of tosses that were tails.
Are the results what you expected to see? What is the sum of questions (1) and (2)?
Write down the key sequence to conduct the same experiment with the calculator. Then conduct the experiment with the calculator and answer the following questions.
Calculate the fraction of tosses that were heads.
Calculate the fraction of tosses that were tails.
Are the results what you expected to see? What is the sum of questions (5) and (6)?
Part II:
Toss a standard six-faced die 60 times and observe the number of dots on the top face.
# of 1's# of 2's# of 3's # of 4's# of 5's # of 6'sTallyTotal
Did you get all six numbers? Would you expect that, for 60 tosses, each number would come up at least once? Explain.
Estimate the probability of tossing a 5 with your die.
Estimate the probability of tossing a 4 with your die.
Are the answers to questions (9) and (10) nearly the same? Explain.
Estimate the probability of tossing an even number with your die. How does this answer compare with the answer to question (10)? Explain.
Estimate the probability of tossing a number larger than 4 with your die.
If you tossed your die 100 times, about how many 4's would you expect to get?
Write down the key sequence to conduct the same experiment with the calculator. Then conduct the experiment with the calculator and answer the following questions.
# of 1's# of 2's# of 3's # of 4's# of 5's # of 6'sTallyTotal
Did you get all six numbers? Would you expect that, for 60 tosses, each number would come up at least once? Explain.
Estimate the probability of tossing a 5 with your calculator.
Estimate the probability of tossing a 4 with your calculator.
Are the answers to questions (17) and (18) nearly the same? Explain.
Estimate the probability of tossing an even number with your calculator. How does this answer compare with the answer to question (18)? Explain.
Estimate the probability of tossing a number larger than 4 with your calculator.
If you tossed your die/calculator 100 times, about how many 4's would you expect to get?
Part III:
Toss a pair of dice fifty times and record the results in the table. Be sure to specify that one die is the first die and the other is the second die. Hint: toss one die with each hand.
Die 1
123456123456
Use the table above to determine the probability of the sum being 7.
Use the table above to determine the probability of the sum being 12.
Use the table above to determine the probability of the sum being 9 or greater if a 6 appears on the first die.
Write down the key sequence to conduct the same experiment with the calculator. Then conduct the experiment with the calculator and answer the following questions.
Die 1
123456123456
Use the table above to determine the probability of the sum being 7.
Use the table above to determine the probability of the sum being 12.
Use the table above to determine the probability of the sum being 9 or greater if a 6 appears on the first die.
Use theoretical probability to fill in the following table and answer questions (31) - (33).
Die 1
123456123456
Use the table above to determine the probability of the sum being 7.
Use the table above to determine the probability of the sum being 12.
Use the table above to determine the probability of the sum being 9 or greater if a 6 appears on the first die.
Heads
Tails
Total
50
Total
Tally
Total
Tally
Total
Tails
Heads
50
Die 2
Die 2
Die 2
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